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March 9th, 2015, 06:51 PM   #1
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Probability density function question?

1. Suppose that the probability density function (p.d.f.) of the lifetime (in days) of a particular type of component is (see attachment).
(a) What is the expected lifetime of a component?
(b) Compute the standard deviation of the lifetime of a component?
(c) Compute the probability a component will fail in less than 365 days.
(d) Determine P (Y ≤ 365) and compare it to the answer in part (c).
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March 10th, 2015, 01:50 PM   #2
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Moment -- from Wolfram MathWorld

Use the above. These are all simple integration questions.
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