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Suppose that the joint density function of X and Y  is given by f (x, y)  ...

Suppose that the joint density function of X and Y  is given by

f (x, y)  =  45 xe−3x(y + 5)     x  >  0, y  >  0.
(a) Find the conditional density of  X, given Y  =  y.
(b) Find the conditional density of Y, given  X  =  x.
(c) Find P(Y  >  5 | X  =  4).
Math   Statistics-And-Probability   
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