# Question: A pair of random variables has a joint PDF specified

A pair of random variables has a joint PDF specified by

(a) Find the marginal PDFs, fX (x) and fY(Y).

(b) Based on the results of part (a), find E [X], E [y], Var (X), and Var (Y).

(c) Find the conditional PDF, f X|Y (x|x).

(d) Based on the results of part (c), find E [XY], Cov (X, Y) and p x, y.

(a) Find the marginal PDFs, fX (x) and fY(Y).

(b) Based on the results of part (a), find E [X], E [y], Var (X), and Var (Y).

(c) Find the conditional PDF, f X|Y (x|x).

(d) Based on the results of part (c), find E [XY], Cov (X, Y) and p x, y.

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