Question: 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

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 100/(4 + x) when its time to failure is x, what is the expected salvage value?

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