×
Log in to StudySoup
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 143e
Join StudySoup for FREE
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 143e

Already have an account? Login here
×
Reset your password

Refer to Exercise 3.142 (c). If the number of phone calls

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 143E Chapter 3

Mathematical Statistics with Applications | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

4 5 1 248 Reviews
23
2
Problem 143E

Problem 143E

Refer to Exercise 3.142 (c). If the number of phone calls to the fire department, Y , in a day has a Poisson distribution with mean 5.3, what is the most likely number of phone calls to the fire department on any day?

Reference

Let p(y) denote the probability function associated with a Poisson random variable with mean λ.

c Notice that the result in part (a) implies that Poisson probabilities increase for a while as y increases and decrease thereafter. Show that p(y) maximized when y = the greatest integer less than or equal to λ.

Step-by-Step Solution:

Solution

Step 1 of 1

We have to find the no.of phone calls per day to the fire department

Let Y is the no.of phone calls to the fire department

Here

Here given that Y is following poisson distribution with mean 5.3

The mean of the  poisson distribution is

We know that P(Y) is maximised when Y= greatest integer less than or equal to

Here

Then y should be less than and should be greatest integer

So y=5

Hence we can expect 5 phone calls per day to the fire department


Step 2 of 1

Chapter 3, Problem 143E is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

The full step-by-step solution to problem: 143E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. Since the solution to 143E from 3 chapter was answered, more than 301 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Poisson, day, phone, calls, mean. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “Refer to Exercise 3.142 (c). If the number of phone calls to the fire department, Y , in a day has a Poisson distribution with mean 5.3, what is the most likely number of phone calls to the fire department on any day?ReferenceLet p(y) denote the probability function associated with a Poisson random variable with mean ?. c Notice that the result in part (a) implies that Poisson probabilities increase for a while as y increases and decrease thereafter. Show that p(y) maximized when y = the greatest integer less than or equal to ?.” is broken down into a number of easy to follow steps, and 95 words.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Refer to Exercise 3.142 (c). If the number of phone calls