# Poisson Statistics Distribution for Failure of a System

A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.

a. What is the probability of no failures in 5000 hours of operation of this system?

b. If two of these systems are operated 1500 hours each, what is the probability of no failures in the two systems?

c. If the desired probability of not having any failures in the two systems operating in part b is 0.03, what must the true mean failure rate of each system be to achieve this desired standard?

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#### Solution Summary

Word document with calculations to find the probability of no failures under different circumstances.

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