(a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 104 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 135 weeks. Find the probability that the system lasts at least 47 weeks. (b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. What must that mean be (in years) so that 80% of all such systems lasts at least one year?
(a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 104 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 135 weeks. Find the probability that the system lasts at least 47 weeks. (b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. What must that mean be (in years) so that 80% of all such systems lasts at least one year?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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