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5-1. Let U - Uniform(0,1) and X = - In(1-U). Show that the CDF of X...

Question

5-1. Let U - Uniform(0,1) and X = - In(1-U). Show that the CDF of X...

5-1. Let U - Uniform(0,1) and X = - In(1-U). Show that the CDF of X is Fx(x) = 1 -e*, 0<x<0 In other word, X is exponentially

5-1. Let U - Uniform(0,1) and X = - In(1-U). Show that the CDF of X is Fx(x) = 1 -e*, 0<x<0 In other word, X is exponentially distributed with 1 = 1.

Answers

Solution Given I OLULI fu)- no otherwise Eu) un da de Fx (X) = P(X 4x) =P (-In (1-4) 2x) =P(In (1-4) 7,-2) = P(1-47, ex = P C


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