Consider a survival time T with survival function S(t), and assume that T is a proper random variable, that is, S(∞) = 0. a) Show that the mean survival time may be given as   b) Find expressions for...

Consider a survival time T with survival function S(t), and assume that T is a proper random variable, that is, S(∞) = 0.

a) Show that the mean survival time may be given as

b) Find expressions for the mean survival time for the exponential distribution and the Weibull distribution (cf. Exercise 1.1).