The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)= kekt, 0≤t<∞o, where k= and a is the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass before a failure occurs is 80 hr. What is the probability that a failure will occur in 58 hr or less?

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...