A commuter owns 2 cars, 1 compact and 1 standard model. About ¾ of the time he uses the compact to travel to work, and about ¼ 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 25% of the time (but he enjoys the air conditioner in the larger car). a) If he gets home at 5:35 p.m., what is the probability that he used the compact car? b) If he gets home at 5:30 p.m., what is the probability that he used the standard model?

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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A commuter owns 2 cars, 1 compact and 1 standard model. About ¾ of the time he uses the compact to travel to work, and about ¼ 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 25% of the time (but he enjoys the air conditioner in the larger car).

a) If he gets home at 5:35 p.m., what is the probability that he used the compact car?

b) If he gets home at 5:30 p.m., what is the probability that he used the standard model?

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