A certain company has two car assembly plants, A and B. Plant A produces twice as many cars as plant B. Plant A uses engines and transmissions from a subsidiary plant which produces 10% defective engines and 2% defective transmissions. Plant B uses engines and transmissions from another source where 8% of the engines and 4% of the transmissions are defective. Car transmissions and engines at each plant are installed independently. a) What is the probability that a car chosen at random will have a good engine? b) What is the probability that a car from plant A has a defective engine, or a defective transmission, or both? c) What is the probability that a car which has a good transmission and a defective engine was assembled at plant B?

A certain company has two car assembly plants, A and B. Plant A produces twice as many cars as plant B. Plant A uses engines and transmissions from a subsidiary plant which produces 10% defective engines and 2% defective transmissions. Plant B uses engines and transmissions from another source where 8% of the engines and 4% of the transmissions are defective. Car transmissions and engines at each plant are installed independently. a) What is the probability that a car chosen at random will have a good engine? b) What is the probability that a car from plant A has a defective engine, or a defective transmission, or both? c) What is the probability that a car which has a good transmission and a defective engine was assembled at plant B?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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