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A computer system consists of a CPU and motherboard. Let X and Y denote the life...

A computer system consists of a CPU and motherboard. Let X and Y denote the life span of the CPU and motherboard, respectively. The joint p.d.f. is given by

f(x,y) = x/6 where 0<=x<= 3, 0<=y<=2

= 0 elsewhere.

a) Find P[X+Y<=3].
b) Find the marginal distribution of X.

c) Find the conditional distribution of Y given X.

d) Find E(X+Y).

Math   Statistics-And-Probability   
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