14. Using the fact that a Poisson process results when the times between successive events are independent and identically distributed exponential random variables, show that

when X is a Poisson random variable with mean x/2 and Fχ2 2n is the chi-square distribution function with 2n degrees of freedom. (Hint: Use the results of Section 14.3.2.)

Transcribed Image Text:

P{X n} = Fx (x) X2m