2. Suppose X and Y each have an exponential distribution with parameter a, find the joint p.d.f of X and X + Y. (PS: X and Y are independent r.v. And jointly continuous.) 3. In the situation of (ii) above calculate E[X | X + Y].

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2. Suppose X and Y each have an exponential distribution with parameter a, find the joint
p.d.f of X and X+Y. (PS: X and Y are independent r.v. And jointly continuous.)
3. In the situation of (ii) above calculate E[X | X + Y].
Transcribed Image Text:2. Suppose X and Y each have an exponential distribution with parameter a, find the joint p.d.f of X and X+Y. (PS: X and Y are independent r.v. And jointly continuous.) 3. In the situation of (ii) above calculate E[X | X + Y].
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