It may be proved that for >, the waiting time T defined in Exercise 23 has the exponential distribution with the parameter . Argue that

It may be proved that for μ>λ, the waiting time T defined in Exercise 23 has the exponential distribution with the parameter μ−λ. Argue that this is consistent with (3.1). For the situation of Exercise 16, compute the probability that the waiting time will exceed one hour. Suppose that in the same situation, a customer has been already waiting half an hour in line. What is the probability that she/he will be waiting at least an hour more?