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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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5. (40/240, Poisson Probability Distribution) Phone calls arrive at the rate of 48 per hour at the Bonuan
Dagupan 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?
u=
ƒ(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) =
LC
Transcribed Image Text:5. (40/240, Poisson Probability Distribution) Phone calls arrive at the rate of 48 per hour at the Bonuan Dagupan 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? u= ƒ(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) = LC
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