a) Suppose X1 and X2 are independent, identically distributed exponential random variables with mean 1/A. Let U = (X1 + X2)/2 and V = X. Find the joint probability density function of U and V, and also the conditional probability density function of V given that U = 1.

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Question 6
(a) Suppose X1 and X2 are independent, identically distributed exponential random variables with
mean 1/A. Let
U = (X1 + X2)/2 and V = X1.
Find the joint probability density function of U and V, and also the conditional probability density
function of V given that U =1.
Transcribed Image Text:Question 6 (a) Suppose X1 and X2 are independent, identically distributed exponential random variables with mean 1/A. Let U = (X1 + X2)/2 and V = X1. Find the joint probability density function of U and V, and also the conditional probability density function of V given that U =1.
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