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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].

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].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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