Two processes of a company produce rolls of materials: The rolls of Process I are 3%

Chapter 1, Problem 1.5-14

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QUESTION:

Two processes of a company produce rolls of materials: The rolls of Process I are 3% defective and the rolls of Process II are 1% defective. Process I produces 60% of the companys output, Process II 40%. A roll is selected at random from the total output. Given that this roll is defective, what is the conditional probability that it is from Process I?

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QUESTION:

Two processes of a company produce rolls of materials: The rolls of Process I are 3% defective and the rolls of Process II are 1% defective. Process I produces 60% of the companys output, Process II 40%. A roll is selected at random from the total output. Given that this roll is defective, what is the conditional probability that it is from Process I?

ANSWER:

Step 1 of 3

Bayes' theorem

Complement rule:

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