The Weibull distribution was defined in Problem 67 of Chapter 2. This distribution is so...

The Weibull distribution was defined in Problem 67 of Chapter 2. This distribution is sometimes fit to lifetimes. Describe how to fit this distribution to data and how to find approximate standard errors of the parameter estimates.

Reference

The Weibull cumulative distribution function is

a. Find the density function.

b. Show that if W follows a Weibull distribution, then X = (W/α)^β follows an exponential distribution.

c. How could Weibull random variables be generated from a uniform random number generator?