1. Widely used in reliability and survival analysis is the Weibull distribution with the density fly; ) , k ) = for y 0 and > > 0 are the parameters. Suppose that the data y1, yz, . .., yn are mod- eled as the outcomes of independent random variables Y1, Y2, ..., Yn, each with the Weibull distribution as above. (a) (Theoretical.) Derive the equations that the maximum likelihood estimates of the param- eters A and