×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 3e
Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 3e

Already have an account? Login here
×
Reset your password

In a certain city, the number of potholes on a major

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

Solution for problem 3E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 307 Reviews
22
2
Problem 3E

In a certain city, the number of potholes on a major street follows a Poisson distribution with a rate of 3 per mile. Let X represent the number of potholes in a two-mile stretch of road. Find

a. P(X = 4)

b. P(X ≤ 1)

c. P(5 ≤ X<8)

d. μX

e. σX

Step-by-Step Solution:

Step 1 of 6</p>

Let X represents no. of potholes

Here X follows poisson distribution with rate of 3 per mile

So

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

Step 2 of 6</p>

a)P(X=4)=

         =

             =0.168

Hence P(X=4)=0.168

Step 3 of 6</p>

b) P(XP(0)+P(1)

    For that we need to find p(0) and p(1)

   P(0)=

          =0.0498

    P(1)=

          =0.1494

Step 4 of 6

Chapter 4.3, Problem 3E is Solved
Step 5 of 6

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

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

In a certain city, the number of potholes on a major