Let X denote the time to failure (in years) of a certainhydraulic component. Suppose the
Chapter 4, Problem 100(choose chapter or problem)
Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is \(f(x) = 32/(x + 4)^3\) for x < 0.
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 100y(4 + x) when its time to failure is x, what is the expected salvage value?
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