46. Regional Airways Calls. Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving three calls in a 5minute interval of time. b. Compute the probability of receiving exactly 10 calls in 15 minutes. 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? d. If no calls are currently being processed, what is the probability that the agent can take 3 minutes for personal time without being interrupted by a call?
46. Regional Airways Calls. Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.
a. Compute the
b. Compute the probability of receiving exactly 10 calls in 15 minutes.
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?
d. If no calls are currently being processed, what is the probability that the agent can take 3 minutes for personal time without being interrupted by a call?
47. 911 Calls. Emergency 911 calls to a small municipality in Idaho come in at the rate of one every 2 minutes.
a. What is the expected number of 911 calls in one hour?
b. What is the probability of three 911 calls in five minutes?
c. What is the probability of no 911 calls in a fiveminute period?
48. Motor Vehicle Accidents in New York City. In a oneyear period, New York City had a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p.m. and 6 p.m. (New York State Department of Motor Vehicles website). This corresponds to mean of 14.4 accidents per hour.
a. Compute the probability of no accidents in a 15minute period.
b. Compute the probability of at least one accident in a 15minute period.
c. Compute the probability of four or more accidents in a 15minute period.
49. Airport Passenger-Screening Facility. Airline passengers arrive randomly and inde pendently at the passengerscreening facility at a major international airport. The mean arrival rate is 10 passengers per minute.
a. Compute the probability of no arrivals in a oneminute period.
b. Compute the probability that three or fewer passengers arrive in a oneminute period.
c. Compute the probability of no arrivals in a 15second period.
d. Compute the probability of at least one arrival in a 15second period.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
