Use Bayes' Rule to Find the Indicated Probability

question 60

Multiple Choice

Use Bayes' rule to find the indicated probability.
-Quality Motors has three plants.Plant 1 produces 35% of the car output,plant 2 produces 20% and plant 3 produces the remaining 45%.One percent of the output of plant 1 is defective,1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective.The annual total production of Quality Motors is 1,000,000 cars.A car chosen at random from the annual output and is found defection.What is the probability that it came from plant 2?

• A)0.217
• B)0.35
• C)0.559
• D)0.224

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Definitions:

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A method of quantifying and numerically marking a country's environmental performance in different policy categories.

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Gross Domestic Product represents the aggregate value, in monetary or market terms, of every final good and service created inside the confines of a country during a designated period.

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Market Price

The market price is the current price at which a good or service can be bought or sold in a marketplace.