The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that Nis proportional to the area of a circle r blocks from the firehouse, then = Cer, vwhere C is a constant, = 3.1416. in the accompanying table, and p(r) -O for r s 23 and r2 30. and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C = 7, the probability distribution for r is as shown 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 0.15 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.)
The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that Nis proportional to the area of a circle r blocks from the firehouse, then = Cer, vwhere C is a constant, = 3.1416. in the accompanying table, and p(r) -O for r s 23 and r2 30. and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C = 7, the probability distribution for r is as shown 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 0.15 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that N is proportional to the area of a circle r blocks from the
firehouse, then N = Crr, where C is a constant, 7 = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C = 7, the probability distribution for r is as shown
in the accompanying table, and p(r) = 0 for rs 23 and r 30.
24
25
26
27
28
29
P(r)
0.05
0.20
0.30
0.25
0.15 | 0.05
Find the expected value of N, the number of homes that the fire department can serve. (Round your answer
two decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd8754a6-9838-44f8-ac24-fd52f02bad0b%2F20235a75-70b4-48c0-9d01-411a17fc3f71%2Fmsnpah_processed.png&w=3840&q=75)
Transcribed Image Text:The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that N is proportional to the area of a circle r blocks from the
firehouse, then N = Crr, where C is a constant, 7 = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C = 7, the probability distribution for r is as shown
in the accompanying table, and p(r) = 0 for rs 23 and r 30.
24
25
26
27
28
29
P(r)
0.05
0.20
0.30
0.25
0.15 | 0.05
Find the expected value of N, the number of homes that the fire department can serve. (Round your answer
two decimal places.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman