Question: The joint probability density function of and is given by a. Verify that this is indeed a joint density function. b. Compute the density function

The joint probability density function of and is given by

f(x, y): xy x2 + 2 0


a. Verify that this is indeed a joint density function.

b. Compute the density function of X.

c. Find P{X > Y}.

d. Find

e. Find E[X].

f. Find E[Y].

f(x, y): xy x2 + 2 0

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