Customers arrive at a local ATM at an average rate of 18 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames.

a) What is the probability that the next customer will arrive within the next 7 minutes?

b) What is the probability that the next customer will arrive in more than 15 minutes?

c) What is the probability that the next customer will arrive between 8 and 11 minutes?

(Round to four decimal places asneeded.)