b) What is the probability that the company need to wait at most 3 days to receives an order over the phone? c) What is the probability that the company needs to wait for at least 2 days to receives 3 orders by telephone?

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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b& c

QUESTION 3
A mail order company receives a steady supply of orders by telephone. The manager records the
number of calls received per day over a period of 3 months and found that it can be modeled via
Poisson distribution with mean 8 orders per week (note: They only work 5 days in a week).
a)
What is the probability that the company will receives 30 orders by telephone in a month?
(hint: Use appropriate approximation)
Transcribed Image Text:QUESTION 3 A mail order company receives a steady supply of orders by telephone. The manager records the number of calls received per day over a period of 3 months and found that it can be modeled via Poisson distribution with mean 8 orders per week (note: They only work 5 days in a week). a) What is the probability that the company will receives 30 orders by telephone in a month? (hint: Use appropriate approximation)
b)
What is the probability that the company need to wait at most 3 days to receives an order
over the phone?
c)
What is the probability that the company needs to wait for at least 2 days to receives 3
orders by telephone?
Transcribed Image Text:b) What is the probability that the company need to wait at most 3 days to receives an order over the phone? c) What is the probability that the company needs to wait for at least 2 days to receives 3 orders by telephone?
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