Find probability that tire will fail before given miles


Problem:

A process is so vital to an organization that the main unit has 2 backups. In case the main unit fails, either backup can be pressed into service. The main unit has a reliability of .95. The two backups have reliabilities of .90 and .85 respectively. What is the reliability of the process? Round to 5 decimal places.

Question 1) Unrelated to part a. Goodstone Tire Company manufactures the "BX" Tire that has an expected life that is exponentially distributed with a mean of 35,000 miles. What is the probability that the tire will fail before 42,000 miles?

Question 2) What is the probability that the "BX" tire will last beyond 46,000 miles? Solve the given numerical problem and illustrate step by step calculation.

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Operation Management: Find probability that tire will fail before given miles
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