A model for lifetimes,with a bathtub-shaped hazard rate,is the exponential power distribution with survival function. S(x)=exp{1-exp[(λx)^α]}
(A)if α=0.5,show that the hazard rate has a bathtub shape and find the time at which the hazard rate changes from decreasing to increasing.
(B)if α=2 show that the hazard rate of x is monotone increasing