Show using probabilities that whether the machine produces acceptable items is dependent on whether the machine is set up correctly. а. b. An item from the production line is selected. What is the probability that the selected item is acceptable? Given that the selected item is acceptable, what is the probability that the machine is set up correctly? С.
Show using probabilities that whether the machine produces acceptable items is dependent on whether the machine is set up correctly. а. b. An item from the production line is selected. What is the probability that the selected item is acceptable? Given that the selected item is acceptable, what is the probability that the machine is set up correctly? С.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Related questions
Question
![[6] A machine is used in a production process. From past data, it is known
that 97% of the time the machine is set up correctly. Furthermore, it is
known that if the machine is set up correctly, it produces 95% acceptable
(non-defective) items. However, when it is set up incorrectly, it produces
only 40% acceptable items.
Show using probabilities that whether the machine produces
acceptable items is dependent on whether the machine is set up
correctly.
а.
b.
An item from the production line is selected. What is the probability
that the selected item is acceptable?
Given that the selected item is acceptable, what is the probability that
the machine is set up correctly?
с.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d405016-e168-4b5b-ab03-3472d18f8882%2F628f60b3-96cd-47bc-b11e-2849e645517c%2Fazqbgek_processed.png&w=3840&q=75)
Transcribed Image Text:[6] A machine is used in a production process. From past data, it is known
that 97% of the time the machine is set up correctly. Furthermore, it is
known that if the machine is set up correctly, it produces 95% acceptable
(non-defective) items. However, when it is set up incorrectly, it produces
only 40% acceptable items.
Show using probabilities that whether the machine produces
acceptable items is dependent on whether the machine is set up
correctly.
а.
b.
An item from the production line is selected. What is the probability
that the selected item is acceptable?
Given that the selected item is acceptable, what is the probability that
the machine is set up correctly?
с.
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