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