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Distributions of two random variables

Please show all steps so that I can get an understanding of how the answer was derived.

(See attached file for full problem description with proper equations)

Problem 1
Let f(x , y)=3/2, x be the joint p.d.f. of X and Y. Find
(a) P(0)
(b) P(1/2)
(c) P(1/2)
(d) P(X)
(e) Are X and Y independent?


Solution Summary

This solution shows the steps to solving algebraic equations.