(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?

MATLAB: An Introduction with Applications
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Let's eat: A fast-food restaurant chain has 590 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 590 to test market a new menu. Round your answers to
four decimal places.
Region
Population
of City
NE
SE
SW
NW
Under 50,000
34
36
17
50,000 – 500,000
56
94
67
32
Over 500,000
152
21
29
50
Send data to Excel
(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?
2.
Transcribed Image Text:Let's eat: A fast-food restaurant chain has 590 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 590 to test market a new menu. Round your answers to four decimal places. Region Population of City NE SE SW NW Under 50,000 34 36 17 50,000 – 500,000 56 94 67 32 Over 500,000 152 21 29 50 Send data to Excel (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? 2.
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