QUESTION 4 The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random variable. Assume that on the average there are 6 calls per hour. (a) Calculate the probability that there are 2 or less calls in one hour. ANSWER: 0.06197 (b) Calculate the probability that there are exactly 9 calls in two hours. ANSWER: 0.08736 (c) Calculate the probability that there are at least 3 calls in two hours. ANSWER: 0.99948

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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QUESTION 4
The number of telephone calls that arrive at a phone exchange
is often modelled as a Poisson
random variable. Assume that on the average there are 6 calls
per hour.
(a) Calculate the probability that there are 2 or less calls in
one hour.
ANSWER: 0.06197
(b) Calculate the probability that there are exactly 9 calls in
two hours.
ANSWER: 0.08736
(c) Calculate the probability that there are at least 3 calls in
two hours.
ANSWER: 0.99948
Transcribed Image Text:QUESTION 4 The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random variable. Assume that on the average there are 6 calls per hour. (a) Calculate the probability that there are 2 or less calls in one hour. ANSWER: 0.06197 (b) Calculate the probability that there are exactly 9 calls in two hours. ANSWER: 0.08736 (c) Calculate the probability that there are at least 3 calls in two hours. ANSWER: 0.99948
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