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72. A traffic light at an intersection has a 120-sec cycle. The light is green for 80 sec, yellow for 5 sec, and red for 35 sec. a. When a motorist approaches the intersection, find the probability that the light will be red. (Assume that the color of the light is defined as the color when the car is 100 ft from the intersection. This is the approximate distance at which the driver makes a decision to stop or go.) b. If a motorist approaches the intersection twice during the day, find the probability that the light will be red both times.

72. A traffic light at an intersection has a 120-sec cycle. The light is green for 80 sec, yellow for 5 sec, and red for 35 sec. a. When a motorist approaches the intersection, find the probability that the light will be red. (Assume that the color of the light is defined as the color when the car is 100 ft from the intersection. This is the approximate distance at which the driver makes a decision to stop or go.) b. If a motorist approaches the intersection twice during the day, find the probability that the light will be red both times.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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72. A traffic light at an intersection has a 120-sec cycle. The light is green for 80 sec, yellow for 5 sec, and red for 35 sec. a. When a motorist approaches the intersection, find the probability that the light will be red. (Assume that the color of the light is defined as the color when the car is 100 ft from the intersection. This is the approximate distance at which the driver makes a decision to stop or go.) b. If a motorist approaches the intersection twice during the day, find the probability that the light will be red both times.
Transcribed Image Text:72. A traffic light at an intersection has a 120-sec cycle. The light is green for 80 sec, yellow for 5 sec, and red for 35 sec. a. When a motorist approaches the intersection, find the probability that the light will be red. (Assume that the color of the light is defined as the color when the car is 100 ft from the intersection. This is the approximate distance at which the driver makes a decision to stop or go.) b. If a motorist approaches the intersection twice during the day, find the probability that the light will be red both times.
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