Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. (a) Compute the probability of receiving four calls in a 5-minute interval of time. (b) Compute the probability of receiving exactly 10 calls in 20 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?

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QUESTION 10

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Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways.
(a)
Compute the probability of receiving four calls in a 5-minute interval of time.
(b)
Compute the probability of receiving exactly 10 calls in 20 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 4 minutes for personal time without being interrupted by a call?
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