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A traffic light at a certain intersection is green 50% of

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 4E Chapter 4.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 4E A traffic light at a certain intersection is green  of the time, yellow  of the time, and red  of the time. A car approaches this intersection once each day. Let  represent the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial.a. Find .b. Find .c. Find .d. Find .
Step-by-Step Solution:

Answer:

Step 1 of 5:

Given,  at a certain intersection of a traffic light, green is 50%  of the time, yellow is 10% of the time and red is 40% of the time.

Let X = number of days that pass up to and including the first time the car encounters a red light.

Assumption is that each day represents an independent trial.

Let X follows Geometric distribution and probability mass function of the Geometric distribution is

 P(x)  =  p  (1 - p  , x = 1, 2, …..

Where, p = 0.40


Step 2 of 5

Chapter 4.4, Problem 4E is Solved
Step 3 of 5

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “?4. A traffic light at a certain intersection is green of the time, yellow of the time, and red of the time. A car approaches this intersection once each day. Let represent the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial.a. Find .b. Find .c. Find .d. Find .” is broken down into a number of easy to follow steps, and 67 words. Since the solution to 4E from 4.4 chapter was answered, more than 1893 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: Find, day, Car, red, light. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 4E from chapter: 4.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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A traffic light at a certain intersection is green 50% of