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Let Y have a uniform (0, 1) distribution. Show that U = ?2
Chapter 6, Problem 28E(choose chapter or problem)
QUESTION:
Problem 28E
Let Y have a uniform (0, 1) distribution. Show that U = −2 ln(Y ) has an exponential distribution with mean 2.
Questions & Answers
QUESTION:
Problem 28E
Let Y have a uniform (0, 1) distribution. Show that U = −2 ln(Y ) has an exponential distribution with mean 2.
ANSWER:
Solution :
Step 1 of 1:
Let Y have a uniform (0,1) distribution.
Our goal is:
We need to show that U = -2 ln(Y) has an exponential distribution with mean 2.