A company produces microwave ovens by production lines A and B. It is known that 4% of all microwave cvens fail to function properly and that 2% of microwave ovens produced by line A fail to function properly. Amang the microwave ovens which function properly, 2/3 of them are produced by line B. Suppose a microwave oven is randomly selected, (a) What is the probability that the microwave oven is produced by line B and functions properly? (b) What is the probablity that the microwave oven is produced by line A? () if the microwave oven is produced by line B, what is the probability that it functions properly?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A company produces microwave ovens by production lines A and B. It is known that 4% of all
microwave cvens fail to function properly and that 2% of microwave ovens produced by line
A fail to function properly. Amang the microwave avens which function properly, 2/3 of them
are produced by line B. Suppose a microwave oven is randomly selected,
(a) What is the probability that the microwave oven is produced by line B and functions
properly?
(b) What is the probablity that the microwave oven is produced by line A?
(c) if the microwave oven is produced by line B, what is the probability that it functions
properly?
Transcribed Image Text:A company produces microwave ovens by production lines A and B. It is known that 4% of all microwave cvens fail to function properly and that 2% of microwave ovens produced by line A fail to function properly. Amang the microwave avens which function properly, 2/3 of them are produced by line B. Suppose a microwave oven is randomly selected, (a) What is the probability that the microwave oven is produced by line B and functions properly? (b) What is the probablity that the microwave oven is produced by line A? (c) if the microwave oven is produced by line B, what is the probability that it functions properly?
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