A critical component in a vehicle braking system should be replaced periodically to reduce the probability that it will fail in service. The failure time (in months) of the component follows a Weibull distribution whose cumulative distribution function (cdf) is given as F(x) = 1 - exp(-(x/12)^3) (a) What can be said about the failure rate? Explain. (b) What is the probability of failure time being longer than 8 months? (c) How frequently should the component be replaced if we can tolerate a 5% failure probability?