4. A system has 7 components, and it functions if and only if at least one of...
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4. A system has 7 components, and it functions if and only if at least one of its components functions. Suppose that the lifetimes of the components are independent, identically distributed exponential random variables with mean 1 year. Furthermore, suppose that currently all the components are functional.
(a) What is the probability that two years from now the system is still functional?
(b) What is the probability that two years from now the system has at least three functional components?
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Related Book For 
Fundamentals Of Probability With Stochastic Processes
ISBN: 9780429856273
4th Edition
Authors: Saeed Ghahramani
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