A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.4. Given that he was at work on time on a particular morning, what is the probability that he drove the large car? (Give the answer to three decimal places.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the
time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large
car, he is on time to work with probability 0.4. Given that he was at work on time on a particular morning, what is the probability that he drove the large car?
(Give the answer to three decimal places.)
Transcribed Image Text:A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.4. Given that he was at work on time on a particular morning, what is the probability that he drove the large car? (Give the answer to three decimal places.)
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