Problem 3. Customers arrive at a bakery at an average rate of 35 per hour. (a) What is the probability that the next customer comes in in the next 4 minutes? (b) What is the probability that you wait between 2 and 6 minutes before the next customer comes in? (c) Actually, in the morning customers arrive at an average rate of 45 per hour. And in the afternoon, customers arrive at an average rate of 30 per hour. The bakery is open between 7:00 and noon in the morning and then from 1:00 to 7:00 in the afternoon. Assume that 70 customers arrived in an interval of 90 minutes, what is the probability that they came in the morning?