Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf

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Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is for .

a. Verify that f(x) is a legitimate pdf.

b. Determine the cdf.

c. Use the result of part

(b) to calculate the probability that time to failure is between 2 and 5 years.

d. What is the expected time to failure?

e. If the component has a salvage value equal to when its time to failure is x, what is the expected salvage value?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 21, 2024 10:04 AM

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Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf

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Probability And Statistics For Engineering And The Sciences

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