Question: Problem 1 0 ( Hint: Use the Exponential Probability Distribution Template ) Genjeteye, Inc, makes aircraft engines. The meantime to failure has been found to

Problem 10(Hint: Use the Exponential Probability Distribution Template) Genjeteye, Inc, makes aircraft engines. The meantime to failure has been found to be 100,000 hours and is exponentially distributed.
a. What is the failure rate, \(\lambda \), per hour?
b. What is the cumulative probability of failure after 10,000 hours or fewer? Between 10,000 and 15,000 hours?
c. If Genjeteye wishes to provide a warranty that no more than 5 percent of the units will fail, how many hours of operation without failure should the company guarantee?

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