Let's eat: A fast-food restaurant chain has 605 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 605 to test market a new menu. Round your answers to four decimal places. Population of City Under 50,000 50,000-500,000 Over 500,000 NE Region SE SW NW 35 31 17 5 62 93 72 25 154 24 26 61
Let's eat: A fast-food restaurant chain has 605 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 605 to test market a new menu. Round your answers to four decimal places. Population of City Under 50,000 50,000-500,000 Over 500,000 NE Region SE SW NW 35 31 17 5 62 93 72 25 154 24 26 61
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
100%

Transcribed Image Text:Let's eat: A fast-food restaurant chain has 605 outlets in the United States. The following table categorizes them by city population size
and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 605 to test market
a new menu. Round your answers to four decimal places.
Population
of City
Under 50,000
50,000 - 500,000
Over 500,000
Region
NE SE
SW NW
35 31 17 5
62 93 72 25
Send data to Excel
154 24 26 61
(a) Given that the restaurant is located in a city with a population over 500,000, what is the probability that it is in the Northeast?
(b) Given that the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50,000?
(c) Given that the restaurant is located in the Southwest, what is the probability that it is in a city with a population of 500,000 or less?
(d) Given that the restaurant is located in a city with a population of 500,000 or less, what is the probability that it is in the Southwest?
(e) Given that the restaurant is located in the South (either SE or SW), what is the probability that it is in a city with a population of
50,000 or more?
Expert Solution

Step 1
From given data we have :
NE | SE | SW | NW | total | |
Under 50000 | 35 | 31 | 17 | 5 | 88 |
50000 | 62 | 93 | 72 | 25 | 252 |
over 500000 | 154 | 24 | 26 | 61 | 265 |
total | 251 | 148 | 115 | 91 | 605 |
Trending now
This is a popular solution!
Step by step
Solved in 6 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman