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IF. 3302 Spring 2032
Quiz Chapter 4 Feb, 29, 2012 Name:
Instructions: Answer each question concisely with no extra information. You have 10 minutes to complete this
quiz (10 points toial).
E1AT= 38" 8) Fg = Si s)* £0) eX, Y)= Dds SOP)
AlX]= fie* fonde £[g(X)= F ao* fae Ele(X. P= re ale, yf (x, Wadeay
o¢ = EX =a? . o
wy = FLXY]~ py Py = 2
O,= fod om t Bett Par Oy;
1, Ifyou need to know information about the spread of a data, or distance from the mean, of a random
variable X, which of the follgwing should you find?
a. px
a b. pxy
ce REXY] - patty
os
2. Given that ELX| = 2, what would the equation look like to determine the standard deviation of X?
a ELX°}-4
HX?)
b G f x* fiadds
ad ELX?]-2
3. Simplify the following expression: E[SY—~ 2]
SE[X] + 2
E[5X?| ~4
C 6 SF[X] -2
d, Cannot be simplified: must solve as is
4. Given that g(x) = 3, fix) = 5x, and 0 <x < 10, what is the expected value of g(x)?
a Elgxy] Soe 3)" 5x
b Blgvol= [ '* S.xehe
a & Ele X= [ xr+3)* Sede
(&) Bigtxy)= f @x—a)* Sade
5. What is the range of possible values for a correlation coelficient?
a. It depends on the data in the random variables Y and Y
\y @ sei
Otol
TE 3302 Spring 2612
Quiz Chapter 4 Feb. 29, 2012 Name: K eV
lastructions: Answer each question concisely with no extra information. You have 10 minutes to complete this
quiz (10 points total).
ALX]= 3x7 £3) Ag X= T sG)* £05 Ag X= TV sey sey)
BLA ]= [s* fodder ELgCXY = Fee)? Soe Mer vI= [fl ges) fle, y)dedy
oe = BX ]~ 4," .
iz Oy = BLXY] ~ fy fy Py = oa
oy = Vv Ox oc 4 o,
1. If you need to know information about the spread of a data, or distance from the mean, of a random
variable X, which of the following should you find?
aN D. PXY
oc. EPXY) - psby
do pty
2. Given that E[X] = 2, what would the equation look like to determine the variance of X?
2) BLX?]-4
&©
b. VELA" ]~4
a ©. fix foddx
d. ELX*]-2
we
Simplify the following expression: E]5.X — 2}
a. R[SX?]--4
lo SEX] -2
© SEFX}+2
d. Cannot be simplified: must solve as is
4. Given that g(x) = 2x + 3, fix) = 5x, and X = {0,1,2,...10}, what is the expected value of g(x)?
10
(® Fen]=Lx+3)*5x
=
AQ Blgay= [x* Seat
0. Elg(X)]= [x +3)*Sxae
d Blg(X)I= ['x+3)* Suc
5. What is the range of possible values for a correlation coefficient?
a. It depends on the data in the random variables X and Y
\q @) -1101
ce Otol
