The CPU time requirement X of a typical job can be modified by the following distribution
where , and .
Compute
i) probability density function of X
ii) the mean service time .
iii) Plot the distribution function and density function of X.
You have been given the cdf of X. Differentiate this with respect to t to get the pdf of X. Now answer the questions by using the usual definitions and formulas. It is assumed that you have the calculus background necesary to do the calculations.