(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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

(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.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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