Phone calls arrive at the rate of 72 per hour at the reservation desk for Regional Airways. (Round your answers to four decimal places.) (a) Compute the probability of receiving three calls in a 5-minute 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Phone calls arrive at the rate of 72 per hour at the reservation desk for Regional Airways. (Round your answers to four decimal places.)
(a)
Compute the probability of receiving three calls in a 5-minute 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?
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