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A certain machine has a life X that has an exponential distribution with mean 10. The
Chapter 3, Problem 3.4-15(choose chapter or problem)
A certain machine has a life X that has an exponential distribution with mean 10. The warranty is such that 100% of the price is returned if the machine fails in the first year, and 50% of the price is returned for a failure during the second year, and nothing is returned after that. If the machine cost $2500, what are the expected value and the standard deviation of the return on the warranty?
Questions & Answers
QUESTION:
A certain machine has a life X that has an exponential distribution with mean 10. The warranty is such that 100% of the price is returned if the machine fails in the first year, and 50% of the price is returned for a failure during the second year, and nothing is returned after that. If the machine cost $2500, what are the expected value and the standard deviation of the return on the warranty?
ANSWER:Step 1 of 3
Given: has an exponential distribution with mean of
is the return on the warranty. The machine costs : of the price is returned if the machine fails in the first year and of the price is returned if the machine fails in the second year: