Let be a positive number. The continuous random variable X is called exponential with parameter

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Let λ be a positive number. The continuous random variable X is called exponential with parameter λ when its probability density function is

(a) Find the cumulative distribution function (CDF) of X.

(b) Find the mean of X.

(d) Suppose X1, X2, and X3 are independent exponential random variables, each with parameter λ. Find the PDF of Z = max{X1, X2, X3}.

(e) Find the PDF of W = min{X1, X2}.

Related Book For answer-question

John E Freunds Mathematical Statistics with Applications

ISBN: 978-0134995373

8th edition

Authors: Irwin Miller, Marylees Miller

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Posted Date: Apr 08, 2020 09:20 AM

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Let be a positive number. The continuous random variable X is called exponential with parameter

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John E Freunds Mathematical Statistics with Applications

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