cuppose that a mobile telecommunication company's helpline receives five calls, on average, per minute. Required: a) Discuss the difference between the Binomial probability distribution and the Poisson probability distribution

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question 3
Suppose that a mobile telecommunication company's helpline receives five calls, on average, per
that a mobile telecommunication company's helpline receives five calls, on average, per
Suppose
minute.
Required:
a) Discuss the difference between the Binomial probability distribution and the Poisson
probability distribution.
b) How many calls does the company expect to reccive in a period of 30 minutes?
c) What is the probability that the company will receive at most four calls in a period of 4
minutes?
d) What is the probability that the company will receive at least three calls in a period of 5
minutes?
e) What is the probability that the company will receive between six and nine calls in a period
of 2 minutes?
Transcribed Image Text:Question 3 Suppose that a mobile telecommunication company's helpline receives five calls, on average, per that a mobile telecommunication company's helpline receives five calls, on average, per Suppose minute. Required: a) Discuss the difference between the Binomial probability distribution and the Poisson probability distribution. b) How many calls does the company expect to reccive in a period of 30 minutes? c) What is the probability that the company will receive at most four calls in a period of 4 minutes? d) What is the probability that the company will receive at least three calls in a period of 5 minutes? e) What is the probability that the company will receive between six and nine calls in a period of 2 minutes?
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Follow-up Question

Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per minute.
Required:
a) Discuss the difference between the Binomial probability distribution and the Poisson probability distribution.
b) How many calls does the company expect to receive in a period of 30 minutes?
c) What is the probability that the company will receive at most four calls in a period of 4
minutes
d) What is the probability that the company will receive at least three calls in a period of 5
minutes?
e) What is the probability that the company will receive between six and nine calls in a period
of 2 minutes?

Solution
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Follow-up Question

Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per minute.

Required:

 

d) What is the probability that the company will receive at least three calls in a period of 5

minutes?

e) What is the probability that the company will receive between six and nine calls in a period

of 2 minutes?

Solution
Bartleby Expert
SEE SOLUTION
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