The amount of time (hours) required to complete an unusually short statistics homework assignment is modeled by the pdf ƒ(x) = x/2 for 0 < x < 2 (and = 0 otherwise).
a. Obtain the cdf and then its inverse.
b. Write a program to simulate 10,000 values from this distribution.
c. Compare the sample mean and standard deviation of your 10,000 simulated values to the theoretical mean and sd of this distribution (which you can determine by calculating the appropriate integrals).