Suppose that the four inspectors at a film factory are supposed to stamp the expiration dateon each package of film at the end of the assembly line. John, who stamps 20% of thepackages, fails to stamp the expiration date once in every 200 packages; Tom, who stamps60% of the packages, fails to stamp the expiration date once in every 100 packages; Jeff,who stamps 15% of the packages, fails to stamp the expiration date once in every 90packages; and Pat, who stamps 5% of the packages, fails to stamp the expiration date oncein every 200 packages. If a customer complains that her package of film doesn't show theexpiration date, what is the probability that it was inspected by John? Determine usingBayes' theorem.

Here use probability tree for given situation

Answered: in every 200 packages. If a customer…

in every 200 packages. If a customer complains that her package of film doesn't show the expiration date, what is the probability that it was inspected by John? Determine using

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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Question

Suppose that the four inspectors at a film factory are supposed to stamp the expiration date
on each package of film at the end of the assembly line. John, who stamps 20% of the
packages, fails to stamp the expiration date once in every 200 packages; Tom, who stamps
60% of the packages, fails to stamp the expiration date once in every 100 packages; Jeff,
who stamps 15% of the packages, fails to stamp the expiration date once in every 90
packages; and Pat, who stamps 5% of the packages, fails to stamp the expiration date once
in every 200 packages. If a customer complains that her package of film doesn't show the
expiration date, what is the probability that it was inspected by John? Determine using
Bayes' theorem.

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