# Joint Probability Distributions

**Question description**

Find the probability P ( X > 2 Y ).

a) Set up the double integral(s) over the region that “we want” with the outside

integral w.r.t. *x* and the inside integral w.r.t. *y*.

b) Set up the double integral(s) over the region that “we want” with the outside

integral w.r.t. *y* and the inside integral w.r.t. *x*.

c) Set up the double integral(s) over the region that “we do not want” with the

outside integral w.r.t. *x* and the inside integral w.r.t. *y*.

d) Set up the double integral(s) over the region that “we do not want” with the

outside integral w.r.t. *y* and the inside integral w.r.t. *x*.

e) Use one of (a) – (d) to find the desired probability.

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