Question: Suppose R and are two random variables with the joint PDF defined as: 3 fR, (r, 0) = sin(0) cos(0), 0, 0r2,00 otherwise. We

Suppose R and are two random variables with the joint PDF defined as: 3 fR, (r, 0) = sin(0) cos(0), 0, 0r2,00 otherwise. We define X = R cos(0) and Y = = Rsin(O). (a) Find the joint PDF of X and Y and verify it is a valid PDF. (b) Calculate E[X], Var(X), E[Y], Var(Y). (c) Calculate Cov(X, Y).

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