A system consists of two independent components connected in series. The lifespan of the first component follows a Weibull distribution with a = .006 and /3 = .5; the second has a lifespan that follows the Weibull distribution with /3 = 1 and a = .00004.
(a) Find the reliability of the system at 2500 hours.
(b) Find the probability that the system will fail before 2000 hours.
(c) If the two components are connected in parallel, what is the system reliability at 2500 hours?