Statistics / Introduction to Probability and Statistics for Engineers and Scientists 5 / Chapter 14 / Problem 14

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition | ISBN: 9780123948113 | Authors: Sheldon M. Ross

Using the fact that a Poisson process results when the

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Using the fact that a Poisson process results when the times between successive events are independent and identically distributed exponential random variables, show that P{X n} = F2 2n (x) when X is a Poisson random variable with mean x/2 and F2 2n is the chi-square distribution function with 2n degrees of freedom. (Hint: Use the results of Section 14.3.2.)

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