Binomial Distribution Complete Notes, Lecture notes of Mathematics

Download Binomial Distribution Complete Notes and more Lecture notes Mathematics in PDF only on Docsity! BINOMIALDISTRIBUTION CONDITIONS 1 REPEATED EXPERIMENTS n 2 DIFFEE OUTCOMES Toss a coin Romadice I t HIT 1 2 3 91516 BlueGreen Red 3 Success p and Failure q outcome being 9 1 pobserved 4 n p and q must be constant noffrepeats P X r g p que D ngan r br probability Be careful says desired ofsuccess probabilityobsurded successbeing e flare X denotes the random variable for iii inumber of times that dice tadamltiplets Find the 1 2,304,5 P 3 9 1 13 3 al Dice Cafta exactlypysuccess P X 2 222 3 8 0.014285 t This means that we threw the dice 20 times out of which it landed on multiple of s twice and 18times it did not land on multiple of three I Immtipleq.at iegggiesSuccess X P X 718 Pex 18 P x 19 P x 20 L 3 3 3 3 4 3 3 k tandsmm.pe at aggieSuccess X P X 2 PLA 2 PCA 1 PX o E 5 31 294 3 28 f 3 3 3 0.05 me l c n z k o 05 an I tf s Ino 05 n Ing I kno05 VIMP Do not divide before calculating In values n 04055 K 2.9957 n 7 2.9957 o 4055 n 7 7.3877 4 This s d n no ofrepeats mustbe integer Smallest value of n 8 I find largest value of n for which the probability that dicelands X tentat least once is less than 0 10 P X is at least once is less than o lo p X 71 L o l Dex 1 I P X o of L PA O I ng 3 o l 0 I 2I H I E 0.1 3 PIX 1 n 3 o9 3 0.9 3 lo g n lug luo 9 n fo4055 7 0.1053 N C o 1053 O 4055 C o 259g Itis Largest valueInfiandias are taken out without 15mints replacement 1 Repeated n 2 Qa a Discrete Fixed Itar NOTA BINOMIAL 3 SIÉIs P q M y np.qareconstar Parents At least 8A X 8 Yod At most 2A K 2 El lo chocolate draws without replacement 5Mints I want chocolates Binomial a Repeat I b Discrete Fixed Pt 451 c Success d n p q are notconstant In without replacement the probability of success and failure keep on charging