A commuter owns two cars. One is a compact and the other is a standard model. About 3 of the time 4 he uses the compact to travel to work and about - of the time the larger car is used. When he uses the compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the probability that he used the compact car?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A commuter owns two cars. One is a compact and the other is a standard model. About
3
of the time
4
he uses the compact to travel to work and about – of the time the larger car is used. When he uses the
compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized
car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the
probability that he used the compact car?
Transcribed Image Text:A commuter owns two cars. One is a compact and the other is a standard model. About 3 of the time 4 he uses the compact to travel to work and about – of the time the larger car is used. When he uses the compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the probability that he used the compact car?
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