A random variable X has a Weibull distribution if it has probability density function

(a) Show that

(Assume ( > 1.)
(b) If ( = 3 and p = 2, find the mean (, and the variance (2.
(c) If the lifetime of a computer monitor is a random variable X that has a Weibull distribution with ( = 3 and ( = 2 (where age is measured in years) find the probability that a monitor fails before two years?

Transcribed Image Text:

if x s 0 f(x) dx = 1