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 does not show the expiration date, what is the probability that it was inspected by John?
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 does not show the expiration date, what is the probability that it was inspected by John?
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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![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 does not show the expiration date, what is the probability that it was inspected
by John?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05a2df2-fa5e-426e-8211-a1453c248cc9%2Fef35f257-dc19-401a-adc8-6da69ea1ef5d%2Frb994_processed.png&w=3840&q=75)
Transcribed Image Text: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 does not show the expiration date, what is the probability that it was inspected
by John?
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