Question: Given independent random variables X and Y with E ( X )=80, X=10 and E (Y)=85, Y =12 respectively, find the mean and variance of

Given independent random variables X and Y with E ( X )=80, X=10 and

E (Y)=85, Y =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 -x

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

d. W=10X

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