問題詳情

Suppose that X and Y are two independent random variables which are exponentiallydistributed with parameter λ = 1. That is, X and y both have Exponential   (1)   -distribution,with cazresponding density functions being fx and fy deined as

.

and

.

respectively. Let T = X+Y. 
【題組】(a)  Find the joint density of the random vector (X,Y).

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