The Weibull distribution was introduced in Section 4.5.
a. Find the inverse of the Weibull cdf.
b. Write a program to simulate n values from a Weibull distribution. Your program should have three inputs: the desired number of simulated values n and the two parameters α and β. It should have a single output: an n x 1 vector of simulated values.
c. Use your program from part (b) to simulate 10,000 values from a Weibull(4, 6) distribution and estimate the mean of this distribution. The correct value of the mean is 6Γ(5/4) ≈ 5.438; how close is your sample mean?