Sales A manufacturer makes two models of an item: model I,

Chapter 4, Problem 18E

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QUESTION:

Problem 18E

Sales A manufacturer makes two models of an item: model I, which accounts for 80% of unit sales, and model II, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model I and 18% of its model II. If a model is selected at random, find the probability that it will be defective.

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QUESTION:

Problem 18E

Sales A manufacturer makes two models of an item: model I, which accounts for 80% of unit sales, and model II, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model I and 18% of its model II. If a model is selected at random, find the probability that it will be defective.

ANSWER:

Solution:

Step 1 of 2:

It is given that a manufacturer makes two models, model I and Model II.

80% of unit sales is from model I and 20% unit sales is from model II.

Also, it is given that the manufacturer replaces 10% of model I and 18% of model II because of defects.

Using this we need to find the probability that a randomly chosen model is defective.


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