The length of time between arrivals at a hospital clinic has an approximately exponential probability distribution. Suppose the mean time between arrivals for patients at a clinic is 4 minutes.
a. What is the probability that a particular interarrival time (the time between the arrival of two patients) is less than 1 minute?
b. What is the probability that the next four interarrival times are all less than 1 minute?
c. What is the probability that an interarrival time will exceed 10 minutes?