Question: 2. Let the two continuous RV X, Y have joint PDF 1 e (x2+!J2) 27r (a) What is var(X), var(Y), cov(X, Y)? Now introduce

2. Let the two continuous RV X, Y have joint PDF 1

2. Let the two continuous RV X, Y have joint PDF 1 e (x2+!J2) 27r (a) What is var(X), var(Y), cov(X, Y)? Now introduce the new random variables (b) (c) (d) Find the inverse functions v) and y(u, v) and use them to compute the Jaco- bian J(u, v) Find the joint pdf v) for the RV U and V. Compute var(U), var(V), cov(U, V).

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