WeBWorK Standalone Renderer

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

$E(X) =$

$E(Y) =$

$Var(X) =$

$Var(Y) =$

$Cov(X, Y) =$

Define the random variable $Z = + X + Y$ . Answer the following questions, rounding your answers to two decimal places.

(a) Find the correlation between $X$ and $Y$ .

(b) Find the mean of $Z$ .

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

You can earn partial credit on this problem.