4. Phone calls arrive at the rate of 48 per hour at a Call Center. a. What is the probability of receiving 3 calls in a 5-minute interval of time? μ= f(3) = b. What is the probability of receiving exactly 10 calls in 15 minutes? μ= f(10)= c. Suppose no calls are currently on hold. If the Call Center Agent takes 5 minutes to complete the current call, how many callers does he expect to be waiting by that time? What is the probability that none will be waiting? ƒ(0)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4.
Phone calls arrive at the rate of 48 per hour at a Call Center.
a. What is the probability of receiving 3 calls in a 5-minute interval of time?
μ=
f(3) =
b. What is the probability of receiving exactly 10 calls in 15 minutes?
μ=
f(10) =
c. Suppose no calls are currently on hold. If the Call Center Agent takes 5 minutes to complete the
current call, how many callers does he expect to be waiting by that time? What is the probability
that none will be waiting?
μ=
f(0) =
d. If no calls are currently being processed, what is the probability that the Call Center Agent can take
3 minutes of personal time without being interrupted by a call?
μ=
f(0) =
Transcribed Image Text:4. Phone calls arrive at the rate of 48 per hour at a Call Center. a. What is the probability of receiving 3 calls in a 5-minute interval of time? μ= f(3) = b. What is the probability of receiving exactly 10 calls in 15 minutes? μ= f(10) = c. Suppose no calls are currently on hold. If the Call Center Agent takes 5 minutes to complete the current call, how many callers does he expect to be waiting by that time? What is the probability that none will be waiting? μ= f(0) = d. If no calls are currently being processed, what is the probability that the Call Center Agent can take 3 minutes of personal time without being interrupted by a call? μ= f(0) =
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