Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which the mean ? is either 1.0 or 1.5, and the prior of ? is the following: L(1.0)=0.4 and L(1.5)=0.6 If the roll of tape selected at random is found to have 3 defects, what is the posterior p.f. of ?? (Don't Hand writing solution)

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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Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which the mean ? is either 1.0 or 1.5, and the prior of ? is the following:

L(1.0)=0.4 and L(1.5)=0.6

If the roll of tape selected at random is found to have 3 defects, what is the posterior p.f. of ?? (Don't Hand writing solution) 

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