SenQ Mail Order Company provides free examination of its products for seven days. If not completely satisfied, a customer can return the product within the period and get a full refund. According to past records of the company, an average of 1 out of every 20 products sold by this company are returned for a refund. (a) 29. Using binomial distribution, find the probability that exactly 4 of the 60 products sold by this company on a given day will be returned for refund. By using Poisson distribution as an approximation, find the probability for the case in (a). Is the Poisson distribution a good approximation for the binomial distribution? Comment. (b)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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SenQ Mail Order Company provides free examination of its products for seven days.
If not completely satisfied, a customer can return the product within the period and
get a full refund. According to past records of the company, an average of 1 out of
every 20 products sold by this company are returned for a refund.
(а)
29.
Using binomial distribution, find the probability that exactly 4 of the 60
products sold by this company on a given day will be returned for refund.
By using Poisson distribution as an approximation, find the probability for
the case in (a). Is the Poisson distribution a good approximation for the
binomial distribution? Comment.
(b)
Transcribed Image Text:SenQ Mail Order Company provides free examination of its products for seven days. If not completely satisfied, a customer can return the product within the period and get a full refund. According to past records of the company, an average of 1 out of every 20 products sold by this company are returned for a refund. (а) 29. Using binomial distribution, find the probability that exactly 4 of the 60 products sold by this company on a given day will be returned for refund. By using Poisson distribution as an approximation, find the probability for the case in (a). Is the Poisson distribution a good approximation for the binomial distribution? Comment. (b)
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