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The number of cars arriving at a given intersection

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

Solution for problem 8E Chapter 4.3

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 8E

The number of cars arriving at a given intersection follows a Poisson distribution with a mean rate of 4 per second.

a. What is the probability that 3 cars arrive in a given second?

b. What is the probability that 8 cars arrive in three seconds?

c. What is the probability that more than 3 cars arrive in a period of two seconds?

Step-by-Step Solution:

Solution

Step 1 of 4

Here Given the no. of cars arriving at a given intersection follows a poisson distribution with mean rate of 4 per second

Let X is the  no. of  cars arriving  at a given intersection

The pmf of poisson distribution is P(X)=, X=0,1,2,..............

Then XPoisson(4)

Hence =4


Step 2 of 4

Chapter 4.3, Problem 8E is Solved
Step 3 of 4

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. Since the solution to 8E from 4.3 chapter was answered, more than 1645 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “The number of cars arriving at a given intersection follows a Poisson distribution with a mean rate of 4 per second.a. What is the probability that 3 cars arrive in a given second?________________b. What is the probability that 8 cars arrive in three seconds?________________c. What is the probability that more than 3 cars arrive in a period of two seconds?” is broken down into a number of easy to follow steps, and 60 words. This full solution covers the following key subjects: cars, arrive, Probability, given, seconds. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 8E from chapter: 4.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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