. Let T1 and T2 be survival times with hazards hl (t) and h2(t) such that h2(t) = phl (t). (a) If T1 is an exponential random variable with rate parameter A, is T2 also an exponential random variable? If so, what is its rate parameter? Write down the hazard, cumulative hazard, and survival functions for T1 and T2. (b) If T1 is a Weibull random variable with shape parameter of and rate parameter A, is T2 also a Weibull random variable? If so, what are its shape and rate parameters? Write down the hazard, cumulative hazard, and survival functions for T1 and T2. ((3) If T1 is a log-logistic random variable with shape parameter '7 and rate param- eter A, is T2 also a log-logistic random variable