Suppose that two continuous random variables X and Y have
Chapter 2, Problem 2.5.5(choose chapter or problem)
Suppose that two continuous random variables X and Y have a joint probability density function f (x, y) = A ex+y +e2xyfor 1 x 2 and 0 y 3, and f (x, y) =0 elsewhere.(a) What is the value of A? (b) What is P(1.5 X 2,1Y 2)? (c) Construct the marginal probability density functions fX(x) and fY(y). (d) Are the random variables X and Y independent? (e) If Y =0, what is the conditional probability density function of X?
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