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Description: Please show the full steps. Thanks! Let X, Y be independent exp(A) random variables. Let S = X +Y.Find the conditional density of X given S.Show that X/S is independent of S.

Math

Statistics

Let X, Y be independent exp(A) random variables. Let S = X +Y. Find the conditional density of X given S. Show that X/S is independent of S.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 23E

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