a. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by john?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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2. Write the given, marginal and conditional
probability. It should be handwritten.
3. Write the mathematical model using the Bayesian
Rule. It should be handwritten.
4. Substitute the given before writing the final answer.
(handwritten)
Transcribed Image Text:2. Write the given, marginal and conditional probability. It should be handwritten. 3. Write the mathematical model using the Bayesian Rule. It should be handwritten. 4. Substitute the given before writing the final answer. (handwritten)
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. Benjie, who stamps 15% of the packages,
fails to stamp the expiration date once in every 90
packages; and Michael, who stamps 5% of the packages,
fails to stamp the expiration date once in every 200
packages.
a. If a customer complains that her package of the film
does not show the expiration date, what is the probability
that it was inspected by john?
b. If a customer complains that her package of the film
does not show the expiration date, what is the probability
that it was inspected by Tom?
c. If a customer complains that her package of the film
does not show the expiration date, what is the probability
that it was inspected by Benjie?
d. If a customer complains that her package of the film
does not show the expiration date, what is the probability
that it was inspected by Michael?
e. Who among the employees forget to stamp the
expiration date in the package of the film? What are you
going to do to the employee?
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. Benjie, who stamps 15% of the packages, fails to stamp the expiration date once in every 90 packages; and Michael, who stamps 5% of the packages, fails to stamp the expiration date once in every 200 packages. a. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by john? b. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by Tom? c. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by Benjie? d. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by Michael? e. Who among the employees forget to stamp the expiration date in the package of the film? What are you going to do to the employee?
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