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[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. a. Show using probabilities that whether the machine produces acceptable items is dependent on whether the machine is set up correctly. 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? C.

[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. a. Show using probabilities that whether the machine produces acceptable items is dependent on whether the machine is set up correctly. 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? C.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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[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? C.
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? C.
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