Let the lifetime density function is

f(y;,)=y(1)(y)(1)(y)ififyy>

where 0,>0 and (0,1)

Using this density function, answer the following questions:

(a) Find the mean and median life time of Y

(b) Find the maximum likelihood estimator (MLE) of = (, , )

(c) Derive an asymptotic results of the MLE of