the joint probability density function of X and Y is given by f(x,y)={e-(x+y) for X>0, y>0 ...

Question

Question

the joint probability density function of X and Y is given by

f(x,y)={e^-(x+y) for X>0, y>0 and 0 elsewhere

A. Find the marginal density of X

B. Find the marginal density of Y

C. Find the Conditional density of X given Y

D. Are random variables X and Y independent? State the reason of your answer.

E. Find P(X<.5, y<.5)

F. Find P(X=.5, y<.5)

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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