find the probability that (a) only two find the light green; (b) at most four find the green light; (c) more than three find the light in green; (d) where X is the number of cars that find the light on green, calculate the mean and standard deviation.

find the probability that (a) only two find the light green; (b) at most four find the green light; (c) more than three find the light in green; (d) where X is the number of cars that find the light on green, calculate the mean and standard deviation.

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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Question

Suppose that a traffic light regulation has established the following: the green light would be on for 30 seconds, the yellow light for 5 seconds and the red light for 50 seconds. Let us also assume that the traffic conditions make the arrival times of the cars random, so arriving when the traffic light is green is a random event. For five cars arriving independently at a traffic light, find the probability that (a) only two find the light green; (b) at most four find the green light; (c) more than three find the light in green; (d) where X is the number of cars that find the light on green, calculate the mean and standard deviation.

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