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# Prove that if X is a positive, continuous, memoryless ISBN: 9780131453401 223

## Solution for problem 15 Chapter 7.3

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

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Problem 15

Prove that if X is a positive, continuous, memoryless random variable with distribution function F, then F (t) = 1 et for some > 0. This shows that the exponential is the only distribution on (0,) with the memoryless property.

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Statistics: Chapter 3.1 1. Mean: average of a set of numbers a. (sum of all data values) / (number of values) b. Mean = (Σx) / (n) i. Let x be a quantitative variable with n measured data value from a population of n. c. Example: i. 10, 15, 20, 25….625 ii. (n+1) / 2 iii. “n”...

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##### ISBN: 9780131453401

This full solution covers the following key subjects: . This expansive textbook survival guide covers 59 chapters, and 1142 solutions. Fundamentals of Probability, with Stochastic Processes was written by and is associated to the ISBN: 9780131453401. The full step-by-step solution to problem: 15 from chapter: 7.3 was answered by , our top Statistics solution expert on 01/05/18, 06:24PM. The answer to “Prove that if X is a positive, continuous, memoryless random variable with distribution function F, then F (t) = 1 et for some > 0. This shows that the exponential is the only distribution on (0,) with the memoryless property.” is broken down into a number of easy to follow steps, and 40 words. This textbook survival guide was created for the textbook: Fundamentals of Probability, with Stochastic Processes, edition: 3. Since the solution to 15 from 7.3 chapter was answered, more than 220 students have viewed the full step-by-step answer.

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