DISTRIBUTION THEORY

QUESTION 1 A random variable X follows the Weibull distribution with parameters a > 0 and ll > 0 if its probability density function is given by: x) : {mildew1 exp (Axa] , x 3 0. Show that the expected value ofX is given by ElX] : (%) '1 F (1 + i) a where F01) : few yo\"1 exp(y)dy is the Gamma function. It is known that if a is an integer, then Ha) : (a 7 1)