Wednesday, 12 September 2018

An electric car contains 2,500 components


An electric car contains 2,500 components

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1) An electric car contains 2,500 components, each component fails independently from the
others and the yearly failure probability per component is 0.002.
(a) What is the probability that all components are working at the end of one year?

(b) What is the probability that three or more components fail before the end of the year?
2) Assume that the life-span of a heating/cooling system has an exponential distribution and
its mean is 11 years,
(a) What is the probability that the system will last more than 11 years?
(b) If a manufacture offers a 2-year guarantee replacement warranty, what is the probability
that a replacement will be made?


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