A manufacturer of microwave ovens is trying to determine the length of warranty period it should attach

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A manufacturer of microwave ovens is trying to determine the length of warranty period it should attach to its magnetron tube, the most critical component in the oven. Preliminary testing has shown that the length of life (in years), x, of a magnetron tube has an exponential probability distribution with θ = 6.25.

a. Find the mean and standard deviation of x.

b. Suppose a warranty period of 5 years is attached to the magnetron tube. What fraction of tubes must the manufacturer plan to replace, assuming that the exponential model with θ = 6.25 is correct?

c. Find the probability that the length of life of a magnetron tube will fall within the interval m - 2σ to μ + 2σ.

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Related Book For  book-img-for-question

Statistics For Business And Economics

ISBN: 9781292227085

13th Global Edition

Authors: Terry Sincich James Mcclave, P. George Benson

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