An airline observes that the number of components that fail before reaching 100 hours of operation is a Poisson random variable. If the average number of failures is eight. It is requested: a) What is the probability that a component fails in 25 hours? b) What is the probability that less than two components fail in 75 hours?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An airline observes that the number of components that fail before reaching 100 hours of operation is a Poisson random variable. If the average number of failures is eight. It is requested:

a) What is the probability that a component fails in 25 hours?

b) What is the probability that less than two components fail in 75 hours?

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