Handwritten Notes on Data | Elementary Statistics and Probability | STAT 100, Study notes of Probability and Statistics

Download Handwritten Notes on Data | Elementary Statistics and Probability | STAT 100 and more Study notes Probability and Statistics in PDF only on Docsity! % How to Buy Textbooks oe eh fF] Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _| Purchase with the help fe s00A colege ae Of clerk that can answer} your questions about a fp menemesats book or class. www,BookHolders.com HTTP://NOTES. BOOKHOLDERS. com (00 macile® Chapter & Dota - Qualitative. data (ategor al): ex blood type, Color Quali Yi Not A + * Numerical data: &x: shoes Sizes | annual salary Include +s TWO kinds: - Discrete data, : Shoe sizez © or b; - Continuors data: Salar | ~No gag m me. SCabe Political ae AAC Didara __ Resjors a arr Ov Frequency ‘s table Sl SMago = 182 Qualitative data AvO loo 1s frequency. the + of entries IN a category > Relate frequency: frequency of a Category tolal + of obicy vations Pe Char+ HTTP://NOTES.BOOKHOLDERS.COM How to Buy, Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _| Purchase with the help fe s00A colege ae Of clerk that can answer} your questions about a fp menemesats book or class. www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com fareto Diagram. (bar chart) Opposed neutral Stapport+ *~ Qualitive or Categorical Data: - Frequency Diagram Pie Char+ - Pareto (Rar) Diagram werete Numerical Data +Fof syStem Crashes per day fo 30 da \S 1S: Ow Oxlye: AA0001a\a0 Ol ©4331 240 relative fre q/30= 3 lol30= ,322 5120 = [67 2130 = . (‘Op Al380 = O07 3/30 2%" OOS 1/30. =" O33 ‘qorar_ | 20 97 Should be ctose tl HTTP://NOTES.BOOKHOLDERS.COM W How to Buy Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help fe s00A colege ae Of clerk that can answer} your questions about a fp menemesats book or class. Chapter 2 * Wees of Data: ~ Qualitative or Categorical not ts €x' blood +ype and hair color — Numerical or measurement Ly FS ex: Shoe Size Ls Discrete variables: Scale of Aistinct ss WO gaps : ex \Shoe size Ly Continuous : an value onan in ae ek he ght + weieht Support Pie. Chart: fareto Diagran (Ctlative Frequently 152] 280 = . Saya H+ Suppors- HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. ~ | Purchase with the help of clerk that can answer jn 45098 College Ave Your questions about a = 301-209-0313 HTTP://NOTES. BOOKHOLDERS. com - Pocrete Pata ~ Frequency Distribution f : ae Lelatwe Malus ae not aC BO= ( Histogram relative { Freaquenc " O1 * Commuds variable Measurements - Dot Diagram — Frequency Did ilazn ov Ind min + max ya aes of data 1S intev vats Class Fre / vandns Ww ntey val Ee Freaquey asi, Kreg" is tf Ch 47 Ot HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. | Purchase with the help : of clerk that can answer| c your questions about a 7 ¥ ~| |= Accept all books ne matter Ravideneorg, = (eur nuaesipn faeatc aoa lm 4509 College Ave Measures of Cemicy Rx; 32, 376,43.,4S,47.5t, CO, 21.93.47 Rie Xa Kg, Rp ess. ~ Sigma Notation oes Xo - Xa ,X4 é »>Xn are Numbers Vili IAs n K+ Xo +Ke tXy oH Re oe given a Collection oF data x, Xo pkg en 4 Sample. mean: Xt Xt X&ytanw* Kn ' = nN 5 Sample Median middie value when datas arianged in. order giver; 1.8. G:4,4-28, ©) how 1M order : Ses ‘14(E1),4 X, 10.5 median = 6 [fF he y are even talee Qvevage O Centy anes = 3.8, G4 Gg. 4) 7.2, O.S 7. Cae, | = See a HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Catrall Purchase at local store - using simple and easy self-serve stations. Advantage | Purchase with the help é =. sold of clerk that can answer] our questions about a * Accept all books na matter fssorzoveais Your Questions We) vac arse” www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Chapter 2 * Measures of Center -“Mean +5 XytXgtike = Sum of Hoe 9 on casuremiewiss aay ‘a v ‘ v +X¥a+Xo ay Xykhkot + Xn » ox 1=\ ex: § ae reer “+ Is Sum. OF KX yt Xp +Xa TKyt hs loa =| Sat4 ~ Median middle wher arcaagta snialiest to lagen Lbodd ' middle value even: average Of the dud naidtel| JOLUres Example Order Smaliets 40 Mlargest OA, EI Me, lO. HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. ~ | Purchase with the help ae of clerk that can answer| jn 45094 College Ave our questions about a 301-209-0319 HTTP://NOTES. BOOKHOLDERS. com 5 = = eats “ Q rhles + POINTS oF Aiwa inte quarters (clata) > Percentiles imore general CaAcA{ ONS - Calculating 100e--n e \. ovdey Aaata Uryyple Yy if corres = 34.0 287 >a 10%) of Caffe Vast 31.7 mins HTTP://NOTES.BOOKHOLDERS.COM How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _ | Purchase with the help of clerk that can answer| your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com lm 4509 College Ave * Measures_ of Variaton LET pX&qpXo7r+ Ky be a_coliection of num evaical-. Observations X =¥2 Bessa Ayerage Deviations : 2 (x: -x) r) Me = HTTP:/NOTES.BOOKHOLDERS.COM How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. ~ | Purchase with the help of clerk that can answer jn 45098 College Ave Your questions about a inci ona book or class. www.BookHolders.com Quartiles =volb oe 8 ae se DON (TS o |Stem Leal IM alec iD \ 2 L\O 22 at's DE ABN CIT O4 = Sample Variance ample d % | 1G = War tance ee] yf 3 fota| observed —- mean C21 0 \G Pm 2: = ( Pé Viator 1) Seri we HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks vel) || P"]) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. 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Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. ~ | Purchase with the help of clerk that can answer jn 45098 College Ave Your questions about a = 301-209-0313 Boul or dass. www.BookHolders.com > 6i Variate Data - +ne sample correlation COeFAr Cient y v “Be Sy Syy* z, (x-x)(y;-¥) Ee —\2 | Sma! ((iaKy) <2 nl cS¥) Ee (Qi-wW - Visa = IN between FA -1F ¥70 Man +here IF A POPiTVeRNneav Cow ¢ation eetueen themvarvables (AS x WwicCreaSes, MIIWOr-eascs) \f 4 40 than there 8 A neg rlinear Corr TIF =O there if no (INGA relatinnsn \\p HTTP://NOTES.BOOKHOLDERS.COM a) | . How to Buy Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _| Purchase with the help fe s00A colege ae Of clerk that can answer} your questions about a fp menemesats book or class. www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com “IF y=tl oy "=-\| then all the pants [ie On a Straignt Jine r=O no opparerit relatianh ip between the 2 variables no as velationship Strougnt | ine can + capture MMe mformaton HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM : Tc ecka ns GOT a leer en con new www.BookHolders.com Ch. Least Squares Regression Kei OTH By eee Mie 3s Sy ae, * Lintar fe pit e “pint a = = > equation Of aA Ine Y= MnKtb ae incleperdant Y= 3K+2 depevdent Navidiole ~ plugin A values furx tae -9et 4He A For — grophs draw line say the best fit hae 1§ given by = Bix + Bo best fit line minimizes Pei rae \2 2 Ch CB, Xj +Be) Bi =slope = Sxy By = ¥ - Bek 5. Bs SS So ao oO W an ‘ & I RS 5 \ C Algo » > plug We Xz@ ard | get ys AvauImine HTTP://NOTES.BOOKHOLDERS.COM 4x +8 2 % How to Buy Textbooks oe eh fF] Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _| Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www,BookHolders.com HTTP://NOTES. BOOKHOLDERS. com PIA) = PHT) + POH) + P(TT) ly s= Sample space - cortains all elementary outcomes FS)=| 1.3 Assigning Krota bility fo events 4 coin - SSINg (2 coins) A= exactly 2 hee hee HHH H hate <s ete fie Shine Ce <+ SEI outcomes rsa THH |? THT Te 7TH TSE > UNiForm. Probability Mode 4 IP your Sample (© Contains K elementary oH Comes anol each of them have tne Same likelyhood OF occuring lb If an event A contains m elementar Yi outcomes then PpA)= & PA)=m, A= exactly 2 heads 8 kK s what if Pe,) # Pe. #P@s) F... F PER M general: the probability of an eventh us the number of af tines A_occurs the number af trials as the Number of trials grbturrlarge HTTP://NOTES.BOOKHOLDERS.COM  @BookHolders , Two Options Wy Ye b 3 W How to Buy Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a fp menemesats book or class. lm 4509 College Ave 4.4 Event elations Avg | A HHH |b AVE A nee B A = there ts exactly 1 tail Avg 4 HTH Je ae ae EAT, g Saat AUB LA HTT B > neve \d_ at beart 1 heads AUB}. 14 THH fe - Def: The" compument. of 4" AVE, A THT | 6 Acnoted A is the set of Aue |A Tre | | elementary outcomes Mot mA A ist: B — The “union of Aand 6" denoted AUB is the set of elementary outcomes in either Roc B® ~ the “intersectin of A and RB"! denoted: AB Is the cet of Clementary outcomes In Aand & - two €vents are Called incon patible If Aw IS Cenpty Mutually 2xXClutive) f (AL) =O Let A: there Is exacHy 1 tails IAB eAoVhing Let I | there are exactly 2 heads - the Law of Complin (wt a EO = 3 PAL 2 2 fA)ZI= AY A-A - Addition Law : FAus) = PA)+ P®) ~ PH) A- at least one tail B- atleast Ho heack pUAUe) =2 | 4- % lw HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. ~ | Purchase with the help of clerk that can answer jm ss09A Sollee Ave Your questions about a : S[ Aeeont all books ne matter sorsocsns, yur gusosion eae eet www,.BookHolders.com a Reco eee HTTP://NOTES. BOOKHOLDERS. com -IF A,B ace compatible P Avg) = PAD+PB Eage is A,B AG ~ empty/ In comperhile ae ®o RUC HTTP://NOTES.BOOKHOLDERS.COM How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com = PBA)= 4 HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks oe Je hi] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a book or class. www.BookHoiders.com HTTP://NOTES. BOOKHOLDERS. com |g Accept all books no matter where purchas hs Www Ww. Peer ceee cu VACVICE . [OO StudeyS- all. fresn or Sopn 50 girls O of te girls are Soph 40 are franrnan Lei = Student selected isa boy B= Student sel€Cita |§ A sopn (0 Soph (bc 40 ave €y esh) - 20 40 boy Soph HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe Te TET) Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help of clerk that can answer| your questions about a book or class. lm 4509 College Ave = 301-209-0313 |g Accept all books no matter where purchased. www,BookHolders.com . Ria CeErnne cee com = HTTP://NOTES. BOOKHOLDERS. com Ch.4 Frobabi lity t-5.. Conditiona | Frokability: and (Independence 10 marbles 2 red 7 oe Se let A = | pu | marbel on TAY te 7) Bete \ pu \l Mmarbel On { HE Q given A P(B) = es Wen A P®@) =3. 9 = a Aap f d ae Ler FA = neaols fivs4 \ndependent Sones tr B= teuls ust | A and 8 ave H given AL PIS) = 2S Called \nolepenct a given A P(B)=.5 syents The Conditional Probability of A given B is de oted P(AIB) and 1s defined toy PA/B)= Pe) Fe) or PAE) = Fe) PAE) CK (O marbles 3 ved P(A) = PAB) “YPA) = S/i0 i green rA) A= ved Ist B= aveen !S+ HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. Purchase with the help . Nsctoaconyan of clerk that can answer] c your questions about a © Ee Accent at nooks ne mater = 301-209-9319 Bockvor class. where purchased. Cl Ha up to x more ten Cash Now www,.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM Cha to, Rando i J My mpling fron A - populati 10. marbles e ang. all Aitter es H Colors Ho me Wwe : i va -enany way AN tw) T a grup oF marbles (wlout replacement 2 The Rute of Caml ations : 1 H+ of jeossible Chaces of r_Obyec o MOM A population of a (s S () wai n-l) Xx K(a-r +1) rx(r- Xie _X2Xx1 1€ vtad WW choose xX: ()* 10-4 ¢ 7. =. JO Spe ek fetes PEDO SH g-21 = | ‘lo 1 so Sif pes O° = 99 = 45 a a: | ) 1000, 000 7 (1. ee S 1,002 090, 024 Iga 2 — ee. A Sample of size n Selected van Ed caste | - OF ny AlStinct OnyeGs (f ra ee UE oleh. 1®) possible Sample nat probability a IH) of being Selected HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Co a "ee a vel) || P"]) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com 2 green bal\\s X Yea balls now 2 no replacement a) green \S+ b= gre M 2ind -\NA L \ Fab P(A = J4- blhere ave Agreen + tote Ete ofa a 5 P(e) = PAG) + RAE) = ak aes HAG =1/2-'/3 plAe) = VW2+ 4/3 Exampe: =e 10 may bles Az ved \st 7 areen @:ved 2rd 3 red PB) = Pie) + PAB) PAR) = P(AE) = q 5h She + HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _ | Purchase with the help L, aecba Gaba Rig of clerk that can answer] your questions about a _ ~| |= Accept all books ne matter Ravideneorg, = (eur nuaesipn ee onto www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Clhapier_S_ Random Variables H He Hae Let X be the # of heads 3 a posside values: O Nre tee aes H a v 3 P(x20) = '/3 Plx=1).> 4/9 P ye =a)= 3/% P(x-=2= V8 -Q random variable KX associa tes a Numerical value WIiHy ean outcome of an expenmes Be - jhe Pebaleility AlStabuhan of a discrete random Variable IS a liSt of tne distnct values OF X Together wits +hetr prroealoi ii | = 7% P(x = Ne Hf P(X=a) = P(x 3) ie O1F the roll iS [e3Sy aon oF ? ( to 2 X=l otherwise HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. 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BOOKHOLDERS. com lm 4509 College Ave pring 03 4° a) Pp (@) = 1- PR) = -&= -La\ PAG) = FA) Re = when Preyie wdlependerrt P AE) PA +P) a) i a - P(A) G4 =. ll -44 » SS Giver) al given Te 36 tft 3 zs a given P(AlB)= PAG -. 44 Ae) g Pe) 2 = 70) r ©) they are indopes ft SSS Se NOt mujua TR ner equal Zao has ty =1* Sélye For wi Kvioben | : b { = B16 2° tre) te | C) EY): Wt at 2+. | 4 ae %2 A) 3°] FPoF hmes Class mech@ywas week: [45 i) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks oe Je hi] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a book or class. | |= Accept all books ne matter ce bs Www Ww. Pern ceee cu HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a book or class. oY Pees Www Ww. Peer cee cu n_ each trial n trials the es ty Aistribution of K_1 Cai EON oO binomial cist ilecchoy \WWihnic depey dS on n and Ec Example X= # OF Students who pr neves Gorn _(ntenet =A Stud e= awe HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks = a "ee a eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. ~_ | Purchase with the help of clerk that can answer} jm ss09A Sollee Ave Your questions about a : Be a ASSAM Nets ne eter } where purchased. pocisuens,- (ourmusstions www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Chapter 5 Binomial Table Example : CO 7 of Flights at an airport depart on time See = the probability that, of [4 randon ly Cl Flights Wie [4- p=. a) at l€ast & depart on time bad most S do not olepart on time Oo ekactly § departon time ly a) AX >6) n=4 fo = F(x=@) + AXSTY tw P=) PK 2G) = | - P(IX<6) which = 1 P(KKES) his value (Sin the table gaundoy .C%aNd i@tross S + get value b) asking for probability of failuye -l08% €or value of IK ot ae pl <s) go 40S and .4 get value c) Poke = fe ge to § And Get value Oe nis R48) Sub tae Hie one abe 1+ P(x 27) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Co a "ee a vel) || P"]) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. ~ | Purchase with the help of clerk that can answer jn a5094 Colles Ave Your questions about a S[ Aeeont all books ne matter where purchased. = 301-209-9319 bovlc or clad. 71. Up to 3s mora then Cash Now www,BookHolders.com esheets) HTTP://NOTES.BOOKHOLDERS.COM Bample GO% of all pel tayo developuent i) Feople & lected A)at feast (o favor devclopment PX 2G@)= |- Pie) rewrite |- PKES. dO to N= \Q goto .6 E iy S and get value b) That & do not favor development p=.G Gg \-.@=.4 vy PK=o go +) n=\2 Fird .4 a look up & and 1 then P(Ks8)- Pkey C) ewer than 4, but moe than 4+ favor tne de velopment P (4x29) go to n=I2 and -lo F(IX49) ~ PXA4) because OW Car + Pk <8) - GE 2) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local i store during convenient hours| using simple and easy self-serve stations. Purchase with the help . of clerk that can answer| c your questions about a © Ee Accent at nooks ne mater book or class. nareserhapsst lm 4509 College Ave = 301-209-0313 www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com z (Solurirs} Node Prive alone Car pool Ride bus Other Taal Relative mod Drive alone Cav pool Kia bus 2.93 a4 24 33.29 20 ak 30 24 34 Fl 1S 27 Find Q; and Q2 OvAer |east+ {0 greatest! IS 20 22 22% ay Q4 24 az 7032 34 3637 13 total Qu= -25 Q3=.75 3, P(BIA)= PH) = noc4 “y=. 0a PA » [gt dq P(B=,.OnF ,.@OH = . oO] SO. "Ss tAce they are HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help of clerk that can answer| your questions about a book or class. lm 4509 College Ave = 301-209-0313 |g Accept all books no matter where purchased. www.BookHoiders.com www. Peer eee com HTTP://NOTES. BOOKHOLDERS. com 4, (13) N=1I3 r=3 SO n-r+] =ll 5/2 Use Roubrs Bete ara: | i fa-W-lo-9 = 495 43-201 HTTP://NOTES.BOOKHOLDERS.COM % = a "ee a How to Buy, Textbooks Jet IIETS] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help of clerk that can answer| your questions about a book or class. lm 4509 College Ave = 301-209-0313 www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Chapter S Practice 40°; of-all calls are put Mm held |B calls fandomiy S¢iecteol a) prrleabi lity that at least 7 put on hod P (hold) = . 4 P(X2D) N=IG Need 1 Flip inequality pat USe law of Compl t l= PK47) which = 1: P(x2G) Sor e=1sS27 = [-473| b) fund P thet at most € ore not Put on hdld = 64 P I" ..4=.6 2 of allure P(X 48) =. 294 c) expected | ##+hat would be puton hold pat =I BER E i084 HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe eh fF] Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. ~_ | Purchase with the help of clerk that can answer| lm 4509 College Ave = 301-209-0313 your questions about a 7 e [ig Accept all books ne matter book or class. " where purchased. | Blair stron nen con non www,.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM Guartiles of a Probability Pensity Functron = Fre st quartile \S the point G1 SA that the area cnoter the Curve to +ne left of qW gual to .aS le or mtdAlan Gn =25 loolting for a et bhe O and Q A= 1 bh Zz 4276 total area uncler fs? dy there are SptS “Gregg ge - 4, > area NdayteCU ees as - gg 2median Sonavead& .S ta let - q,2 area 15 «15°10 He lett HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. | Purchase with the help : of clerk that can answer| c your questions about a ee secs book or class. where purchased. lm 4509 College Ave = 301-209-0313 www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Me Standardized voriable 2 Koy has meandand sp=l 6 x 1S. QA Continuous random variable with th PrOcabi lity Aensity function (x) Quartiles Lower q paint on X oxis that Satisfres + the pt on Hoe. X axis Such thot P® £91) =-as eobability + area are the fame thing 4, Shaded avea =. a5 niddle Fo pt on. KXaxiS Such that nedliain) P(X492)= 55 every Hang to the 1eft of Casts”. SO ley ey Ya rt on xX axis. Sl - FXS142)= everything 1d +he left HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe Te TET) Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local 3 store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com TO Find Quartiles: PQ) = ( 7% base= 4, heignt = HV te 1s 75 uch ee) BX A, ae aNd: ZuatGZz 3 U HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks vel) || P"]) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. __ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks Te TET) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHoiders.com HTTP://NOTES. BOOKHOLDERS. com 6.2) NOmmMal piStn lution hag NOV NiO W436 HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | c using simple and easy Advantage self-serve stations. vi s _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com 23 The Standard Normal Dist bution NCO, ) A lol 2 let X be a x randony, vav e WI probability distribution N ©, |) Find Rik 475 HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. | Purchase with the help of clerk that can answer| your questions about a ‘where purcha Beak of clsat © Ta ve te more then cash Non. www.BookHolders.com www.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM Ea accept nooks ne mater lf % iS QA pil 7 vials | 10eBON. bb 20D) , [s4\l G00 eGo} SUb farmer Contin uty corre HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Co a "ee a vel) || P"]) Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a = 301-209-9319 Bockvor class. } 71. Up to 3 more ten Cash Now |g Accept all books no matter where purchased. www,.BookHolders.com Www.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM Examples: Let X be..bnmial. n= as p.=16 tna). . ay P[X dhs trie ed as Vas: .ej=l5 yr Z 25 (0 6)64) = SE P/le5 “5 424115 6 I+ 14Adon table > ~2e- +5481= 004) ae S 2D) I) pe Ss ike CPL AX41¢) = Pha 2 xan]* Pls 2K 49k P/T).5-1s_ €2 4 S-!5 a G HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks = eel Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local 3 store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. | =| Purchase with the help of clerk that can answer jn 45098 College Ave Your questions about a inci ona book or class. www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com 0.5 Normal approximatia fo tie binomial X 1S G@ binomial random variable when np and n(i-p) are large MWe binomial clistributian \S approximated by IN ne \net py also 27 XK -=np IS apprax (0,1) pe (-p) Ckample : a peat ieee aw” PIS2 4 xeTi}= P53 £ xe 4]= as Rdistibuted as N C4 iso tise-4- 6) e p[s?.s 4 Meee |S A eeth Pi5a5-C4-\50) SBS Ths- C4 SD Oe ISO 4 ISO)C FIG get answers fram table + Subtract Coot HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks = eel Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. of clerk that can answer your questions about a book or class. = 301-209-0313 www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com aS Central Limit Theorem. Whatever +ne population , the distribution of Xi. us Arproximately Normal when +ne Sample SiZ€ 18 large. F(x) TtAEe a Sample of SiZe N (where_h 1S brg) “ 6 and calculate K Sampeman mean sss peradion= = 300, 000, 000 5 too big S€ N=(00 talce joo ceMtral Limit Theorem K XK IS a random variable With p Qn lation mean [Y and standard cleviation 6. IF your take a vandem sample size A where IS lavage then X I approx NCNM, ra Z>X=M x wn (of SAN HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. | Purchase with the help of clerk that can answer} your questions about a book or class. www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com lm 4509 College Ave = 301-209-0313 Point Estimation + A Statistic intended for estimating wa Of a population. IS. CC The standard deviaton of a point eStimator \ red Hyv€ tAt +O (= aur take a’ rardan sample CFLS 4, the point estimator for /v Giiven F A lf we have a epee On with population. mean [V Std A xr ana of viation Go take A CmMuUck aller than PF ano Compute ple Mtans X How 1S XK distributed - > use C¢ ral timit Theorem NON, 2) Notation Z oY is_ the_pont such that Standard normal a Eyal HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe eh fF] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local i store during convenient hours| Purchase at local store I. acs using simple and easy cae self-serve stations. = 6 © "| Purchase with the help Instant Cash of clerk that can answer| your questions about a book or class. www,BookHolders.com HTTP://NOTES. BOOKHOLDERS. .cOM College Ave = 301-209-0313 mean Font timation : want to estimate tne parameter [Vv we Know about a yandom Sample of Size n , Xing, Neiait Kiqg cites § Powt eShmator for MV = K = e Xi Standard d Evror(X)? & 1 Pproximia 1 (Sample fy wy If N Is lavyge the |\000-«)% error margin \S Zoggs mw f PEE OY Mme AI, error margin 1s A2.SB-_S_ | mM with 14 fe Confidence tre _ population mean is in me interval Kk + 2,53 se ny Example: A random sam ple of 100 Is ee" for) the Population at large CUS poy J one. 4 AVERAGE NA Come ‘S Computed « The Sample average “ts 045 00. With sample Sd of 44,000 a) AMaTS pout eHimato f We aniple mean b) What (S the a3 % eroremargin N=|00 § Zo, S.—> | 4-400 2784 (ge aon im t income =1.96 (table) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a fp menemesats book or class. www.BookHolders.com : Tc ecka ns GOT a leer en con new Www. BookHolders.com pixssiso 4.) A= S0900 o = / mean = 30940 Sd £2 SHUD = $46 mM 100 = Aa ohare S06 - 2094 o.|= Pal = S54 ASST wn {cars HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help . Nsctoaconyan of clerk that can answer] c your questions about a © Ee Accent at nooks ne mater = 301-209-9319 Bockvor class. where purchased. Cl Ha up to x more ten Cash Now www,.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM Homeware le sample mcan a) find Standavd €'rov rs Ee SEK) = <6 52 = [8.320] b) find LOG (l- £) 7% error margin 1S 7, evror maaigin = : = 215S= 1.9% . z = R11 2. Pow ae @k2 Estimated Standard Error Ce to find mM n-! - S2 = @&3 G€3 =] 3S= Nga | Qe 3. K= 1b. 4G point € HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe eh fF] Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _| Purchase with the help of clerk that can answer} your questions about a book or class. www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. .cOM lm 4509 College Ave = 301-209-0313 GWEN 1.9% _S. =5S.9 (48% error) SO n b) WOK evvor Margin MOPS Sa Wn . FOR confidence \merval or We tes MSS es. shee. F 2vvo ES Pa = ds ar gi lwASissGfes ASO and 8\.: € Z ' >F | { 1, N =O mean = 8.6 sd= 4.3 CRO7. G45» 4% 7 .6 HTTP://NOTES.BOOKHOLDERS.COM How to Buy, Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. 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BOOKHOLDERS. com Ch.¥ Sa Saya population has mean |V anol oO You wait 1d fake Qa random Sample tn that ne W1% margin of evry is smaller than df 44% Margin, of _ervov 2.5% (2 is we want margin of errors = 2.580 bs Tn Ns (aoe oo al Our Population has mean 7] Si Gs Flow big A Sample Must we talce go ensaur that he 75% margin of error js hess Haar) AZ Lo, © was H22y,5 m2. 4eS = NZ aes) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe eh fF] Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store using simple and easy self-serve stations. _ | Purchase with the help L, aecba Gaba Rig of clerk that can answer] your questions about a _ ~| |= Accept all books ne matter Ravideneorg, = (eur nuaesipn ee onto www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Aa) what 1s the W177. margin of error Litjs, 28 2m loole for hs ys. OW = 3 Os Want Efe S +072 | =,ols loolt at chart at .oals Za gip = Sas lF A df. = iealey Lodijiy Sip as Bult 1. SC rep) z a Te #5 The Sample mMe€an K=715.43 S=a473 neSo Q) what 1S_ the aes nt eShmator of pop AIcan 2 b) JO% evvor ‘of mam |6WAS AYA =/ 1104S 24e7S {50 ST C)WwhatS JO% confidence intevVal ao >| HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | c using simple and easy Advantage self-serve stations. vi s _ | Purchase with the help of clerk that can answer| your questions about a book or class. lm 4509 College Ave = 301-209-0313 www.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com %.2 Confidence Intervals fer large We Want to estimate IV USE a vandom. SamAe \ Ooms Ute x Chey B= KN IS Standard noma! o The. P that nis in + tnterval Le ag K+ [-¢ this Intewval 1S [00 (1-4 Jmaller # Chigher cant lavger ~ (larer co ridenie ) bigger Sample Sizes gmauer = E XQNple : n= 30.4 Qt. SI HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help . of clerk that can answer| c your questions about a © Ee Accent at nooks ne mater book or class. where purchased. lm 4509 College Ave = 301-209-0313 www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com KAY Example: N=40 K=l4l 3= 30a Ho: = 150 Hy: 4150 k= OS PK <C) = OS solve for c if tts More than KK reject +o % 1s Normal, mean ISO, Sd 20.2 ice Ponett Wo One and two tailed terts Ho! M#=O f Hi Meo HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks oe Te TET) Search by class, author, title, ie or ISBN at bookholders.com. ie aes Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _ | Purchase with the help fe s00A cotegeae Of clerk that can answer} your questions about a = 301-209-9319 Bockvor class. } 71. Up to 3 more ten Cash Now www,.BookHolders.com Www.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM |g Accept all books no matter where purchased. Example : 1=4q Ho: jU=lbo K =157 H,! M#ICO S = 4 #=,0) Be OCT if -a.S8 -Ba- & MGCL puss Zips 2 4/9 or K- Large Sample ny S (ata Z +es Li I) Ho: As No 2) Ho: Mtoe 2) Ho: M=Mo Hi M4Mo H.'s Ato Hit AA seh rete if reject Ho if vefect Hout KX Ho g -Fe Me 4 -Zey, Ae Zags Jw Yr 1m or HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks eh fF] Search by class, author, title, or ISBN at bookholders.com. 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BOOKHOLDERS. com RS Inferences Regarding a Population Proport au Px \ tions made that_one Four Hird arad ers, are Mahler nar t+ ta j coOmMeone thinks that more fhan VLS_ propor Of 3rd gradevs ore 4A (ft all ie Popul ahion proportion. P= FoF pple wisome property pee 5 VAS ) take a random sample and co puie p @ =H Some prop V I Take a random sam; t nb ample “4 Let xX ty f of GF fall 3rd gq rol CVS X's a binomial random yaviable w/ P(S) =p US@ norma Goprok to binemi a AS AppIrx N np Vnpa Pp) alee) a2 = » VE bot j IX) 0) HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks oe Je hi] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a book or class. www.BookHoiders.com HTTP://NOTES. BOOKHOLDERS. com |g Accept all books no matter where purchas bs Www Ww. Pernice cu and found that oft tall HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | using simple and easy self-serve stations. _| Purchase with the help of clerk that can answer} your questions about a fp menemesats book or class. www,.BookHolders.com lm 4509 College Ave I. Pont estimate a AS% confidence interval 1.9G a = Sx ae ea” | WEDS edt ae aes p= ge +1454 | HTTP://NOTES.BOOKHOLDERS.COM % How to Buy, Textbooks oe Je hi] Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| using simple and easy self-serve stations. Purchase with the help of clerk that can answer| your questions about a book or class. |g Accept all books no matter where purchas bs Www Ww. Pern ceee cu N= 50s X= 25% * Point Exstmoror @ 7 ase SOS = | FOR Cort HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Self-Serve | Purchase at local store | : using simple and easy self-serve stations. = s | Purchase with the help fe s00A colege ae Of clerk that can answer} your questions about a fp menemesats book or class. www,.BookHolders.com HTTP://NOTES. BOOKHOLDERS. com Chapter 4 Infevences from a small sample re We assumed large mmMple SIZES OWe Could usje CLT Qi Whatif on 18 smal? AS lt we assume tne A Pop“.la gn __\S hoymal we cay odo even ty) ng Fory ye & q °. Be ke 4.1 StudentS T Distribution when nis large Ye pr Ox J PPO. o OF x Bs 7 If N 1s smatt than to 090 When Nn S smali| ‘ec 5 <e 4 witt n- L. Nn degr ers of treede diStubutioy tou = a —_ NO, 1) les ae PUTLOAS Are S¥MME tr & About © ANC e -ta| = - 1S higher for T diStributioaS thar livo, |) + o decreases ASN increases AS N> © the T dist bufions ippitach NO, \) % W HTTP://NOTES.BOOKHOLDERS.COM % How to Buy Textbooks Search by class, author, title, or ISBN at bookholders.com. Purchase for pickup at local store during convenient hours| Purchase at local store using simple and easy self-serve stations. Purchase with the help . Nsctoaconyan of clerk that can answer] c your questions about a © Ee Accent at nooks ne mater = 301-209-9319 Bockvor class. where purchased. Cl Ha up to x more ten Cash Now www,.BookHolders.com HTTP://NOTES.BOOKHOLDERS.COM T Distribution Sma\| Sample Confidence |ntervals for M IF n<30 and Source population 1s morma) thay Hie 100 G- a) Cl IS gINeN boy X- Oey, = ) Kt yy SN } is. the n+ A\Sstributian ty, \s the Upper 7/5 0 the 5 z with n-l dof. Example : : Waa xX=I140 my a) 98% confidence Interval tor JA Wisp he AD et I ery Tao J 2, TRO degrees of free Jon. n-| 20-1 Sl go to table df =19, 467, 50 b= 02 7/3 loab ue bath ( [40 ~a. 934 & S HTTP://NOTES.BOOKHOLDERS.COM