Let X have a Weibull distribution with parameters α and β, so a. Based on a ran...

Let X have a Weibull distribution with parameters α and β, so

a. Based on a random sample X1, . . . , Xn, write equations for the method of moments estimators of β and α. Show that, once the estimate of α has been obtained, the estimate of β can be found from a table of the gamma function and that the estimate of α is the solution to a complicated equation involving the gamma function.

b.