### What is the probability that the bx tire

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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.

b. 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?

c. What is the probability that the "BX" tire will last beyond 46,000 miles?

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