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(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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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  1. (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.

(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.
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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