Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving one call in a 10-minute interval of time. (to 4 decimals) b. Compute the probability of receiving exactly 12 calls in 15 minutes. (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes to complete the current call, how many callers do you expect to be waiting by that time? What is the probability that none will be waiting? (to 4 decimals) d. If no calls are currently being processed, what is the probability that the agent can take 4 minutes for a personal time without being interrupted by a call? (to 4 decimals) Cars arrive at a car wash randomly and independently; the probability of an arrival is the same for any two time intervals of equal length. The mean arrival rate is 15 cars per hour. What is the probability that 20 or more cars will arrive during any given hour of operation (to 4 decimals)? A new automated production process averages 3.1 breakdowns per day. Because of the cost associated with a breakdown, management is concerned about the possibility of having 3 or more breakdowns during a day. Assume that breakdowns occur randomly, that the probability of a breakdown is the same for any two time intervals of equal length, and that breakdowns in one period are independent of breakdowns in other periods. What is the probability of having 3 or more breakdowns during a day? (to 4 decimals)