Given independent random variables X and Y with E ( X )=80, σX=10 and E (Y)=85, σY =12 respectively, find the mean and variance of each of the following random variables.
a. W=4X-2Y
b. {X1 ,..., X 100} and {Y1, ...,Y 100} are independent draws from X and Y distributions.
W=y bar -x̅

c. {X1,..., X10} are independent draws from X distributions.
W =X1+,...,+X10

d. W=10X

Question

Given independent random variables X and Y with E ( X )=80, σX=10 and E (Y)=85, σY =12 respectively, find the mean and variance of each of the following random variables.
a. W=4X-2Y
b. {X1 ,..., X 100} and {Y1, ...,Y 100} are independent draws from X and Y distributions.
W=y bar -x̅ 
 
c. {X1,..., X10} are independent draws from X distributions.
W =X1+,...,+X10
 
d. W=10X

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Introductory Statistics

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