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Show all work. 1. There is a contractual requirement to demonstrate with 90% confidence that a vehicle can achieve a 100-km mission with a reliability

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1. There is a contractual requirement to demonstrate with 90% confidence that a vehicle can achieve a 100-km mission with a reliability of 99%. The acceptance test is performed by running 10 vehicles over a 50,000-km test track. What is the contractual MTTF? Assuming an exponential distribution: What is the maximum number of failures that can be experienced on the demonstration test without violating the contractual requirement? (Note: Assume an exponential distribution.)

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