A person goes to office either by car, scooter, bus or train, the probability of which being 1/7, 3/7, 2/7 and 1/7, respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that he reached office in time, then what is the probability that he traveled by a car.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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A person goes to office either by car, scooter, bus or train, the
probability of which being 1/7, 3/7, 2/7 and 1/7, respectively.
Probability that he reaches office late, if he takes car, scooter,
bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that
he reached office in time, then what is the probability that he
ime, then
traveled by a car.
Transcribed Image Text:A person goes to office either by car, scooter, bus or train, the probability of which being 1/7, 3/7, 2/7 and 1/7, respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that he reached office in time, then what is the probability that he ime, then traveled by a car.
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