The time between customers is exponentially distributed with a mean of 0.5 minutes. Given that 60 mins have elapsed since the last customer, find the probability that we must wait an additional 5 mins for the arrival of the next customer? 1-e^(-2.5) 1-e^(-960) e^(-2.5) 1-e^(-10) Consider a bank with two tellers. Three people, Alice, Betty, and Carol enter the bank at almost the same time and in that order. Alice and Betty go directly into service while Carol waits for the first available teller. Suppose that the service times for each customer are exponentially distributed with mean of 4 minutes. Betty finishes and leaves the bank. Carol goes to the available teller. What's the probability Alice leaves before carol? Information is not enough 0.5 1-e^(-4) e^(-4) 0.25