2. The cumulative distribution function (CDF) of random variable Y is a. What is E[Y] ? b. What is variance Var[Y] and standard deviation [Y]? c. What is E[3]? (hint: consider variable change z=3¹) Fy(y)= y<- -1sy <0 0 ≤y <1 (v+1)/4 15y<3 1 y23 (y+1)/2 1/2

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2. The cumulative distribution function (CDF) of random
variable Y is
a. What is E[Y] ?
b. What is variance Var[Y] and standard deviation o[Y]?
c. What is E[3]? (hint: consider variable change z=3³)
Fy(y) =
0
y<-1
[(x + 1)/2
(y+1)/2 -1 ≤y <0
1/2
(y + 1)/4
1
0 ≤ y < 1
1≤y <3
y 23
Transcribed Image Text:2. The cumulative distribution function (CDF) of random variable Y is a. What is E[Y] ? b. What is variance Var[Y] and standard deviation o[Y]? c. What is E[3]? (hint: consider variable change z=3³) Fy(y) = 0 y<-1 [(x + 1)/2 (y+1)/2 -1 ≤y <0 1/2 (y + 1)/4 1 0 ≤ y < 1 1≤y <3 y 23
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