(OPTIONAL) The life, in years, of an electric switch has an exponential distribution with anaverage life of ß = 3. If 200 of these switch are installed in different systems, What is theprobability that at most 50 fail during the first year?

The PDF of exponential distribution with mean β=3 is given by,

Answered: (OPTIONAL) The life, in years, of an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(OPTIONAL) The life, in years, of an electric switch has an exponential distribution with an average life of ß = 3. If 200 of these switch are installed in different systems, What is the probability that at most 50 fail during the first year?