# Question

A pair of random variables has a joint PDF specified by

(a) Find (X > 2, Y < 0).

(b) Find Pr (0 < X < 2, | Y + 1| > 2.

(c) Find Hint: Set up the appropriate double integral and then use the change of variables: u = x – y, v = x + y.

(a) Find (X > 2, Y < 0).

(b) Find Pr (0 < X < 2, | Y + 1| > 2.

(c) Find Hint: Set up the appropriate double integral and then use the change of variables: u = x – y, v = x + y.

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