Problem 2 (25 Points) A device has a continuous failure rate specified by the equations: at -0.5 for Ostst, h(t) = 1 fort, Stet, b(t - t, )? fort 2 t, a) Solve for the constants a and b in terms of 1 , t, and t . b) Compute the expressions for the reliability of the device as a function of time, in terms of 1 , t, and t, , c) Ift, =1 year and t, = 10 years and 1 =0.1 per year, compute the probability that the device will not fail in 5 years