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a) Determine the value of k. (b) Determine the cdf. (c) Calculate the probability that time to failure is between 2 and 6 years.

a) Determine the value of k. (b) Determine the cdf. (c) Calculate the probability that time to failure is between 2 and 6 years.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let X denote the time to failure (in years) of a certain engineering component. Suppose the pdf of X is f(x) =k/(x+4)^3 for x≥0.

a) Determine the value of k.

(b) Determine the cdf.

(c) Calculate the probability that time to failure is between 2 and 6 years.

(d) If the component has a salvage value equal to 100/(4+x)when its time to failure is x, what is the expected salvage value?

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