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Consider the random variables $X$ and $Y$ with

$E(X) =$

$E(Y) =$

$Var(X) =$

$Var(Y) =$

$Cov(X, Y)=$

Define the random variables

$W_1=X-Y$

$W_2=Y-X$

Answer the following, rounding your answers to two decimal places.

(a) What is the mean of $W_1$ ?

(b) What is the mean of $W_2$ ?

(c) Find the standard deviation of $W_1$ .

(d) Find the standard deviation of $W_2$ .

You can earn partial credit on this problem.