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
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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?
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
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