(Reliability Analysis) Consider the following system, Assume that the lifetimes of the first and second 3 4 components are geometrically distributed with mean 2 hours (Geo(1/2)), the lifetime of the third component is geometrically distributed with mean 4 hours (Geo(1/4)) and the lifetime of the fourth component is geometrically distributed with mean 3 hour (Geo(1/3)). (a) Construct the structure function for this system. (b) Compute the probability that the system survives for more than 2 hours. (c) Compute the expected lifetime of the system.
(Reliability Analysis) Consider the following system, Assume that the lifetimes of the first and second 3 4 components are geometrically distributed with mean 2 hours (Geo(1/2)), the lifetime of the third component is geometrically distributed with mean 4 hours (Geo(1/4)) and the lifetime of the fourth component is geometrically distributed with mean 3 hour (Geo(1/3)). (a) Construct the structure function for this system. (b) Compute the probability that the system survives for more than 2 hours. (c) Compute the expected lifetime of the system.
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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(Reliability Analysis) Consider the following system, Assume that the lifetimes of the first and second
components are geometrically distributed with mean 2 hours (Geo(1/2)), the lifetime of the third component is geometrically distributed with mean 4 hours (Geo(1/4)) and the lifetime of the fourth component is geometrically distributed with mean 3 hour (Geo(1/3)).
(a) Construct the structure
function for this system.
(b) Compute the probability that the system survives for more than 2 hours.(c) Compute the expected lifetime of the system.
Transcribed Image Text:(Reliability Analysis) Consider the following system, Assume that the lifetimes of the first and second
4
components are geometrically distributed with mean 2 hours (Geo(1/2)), the lifetime of the third
component is geometrically distributed with mean 4 hours (Geo(1/4)) and the life
component is geometrically distributed with mecan 3 hour (Geo(1/3)).
ne of the fourth
(a) Construct the structure function for this system.
(b) Compute the probability that the system survives for more than 2 hours.
(c) Compute the expected lifetime of the system.
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