Let's eat: A fast-food restaurant chain has 593 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 593 to test market a new menu. Round your answers to four decimal places. Region Population of City NE SE SW NW Under 50,000 28 38 12 3 50,000 - 500,000 64 87 75 32 Over 500,000 149 26 27 52 Send data to Excel (a) Given that the restaurant is located in a dity 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

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Let's eat: A fast-food restaurant chain has 593 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 593 to test market a new menu. Round your answers to four decimal places.
Region
Population
of City
NE SE
SW NW
Under 50,000
28
38 12 3
50,000 - 500,000
64
87 75 32
Over 500,000
149 26 27 52
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?
Transcribed Image Text:Let's eat: A fast-food restaurant chain has 593 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 593 to test market a new menu. Round your answers to four decimal places. Region Population of City NE SE SW NW Under 50,000 28 38 12 3 50,000 - 500,000 64 87 75 32 Over 500,000 149 26 27 52 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?
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