Let's eat: A fast-food restaurant chain has 585 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 585 to test market a new menu. Round your answers to four decimal places. Region Population of City NE SE SW NW Under 50,000 32 33 20 3 50,000-500,000 57 91 67 30 Over 500,000 146 20 26 60 Send data to Exxel (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?

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Let's eat: A fast-food restaurant chain has 585 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 585 to test market a new menu. Round your answers to four decimal places.
Region
Population
of City
NE
SE SW NW
Under 50,000
32 33 20
50,000 - 500,000
57 91 67
30
Over 500,000
146 20 26 60
Send data to Exel
(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 iş 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 (eithen SE or SW), what is the probability that it is in a city with a popylation
of 50,000 or more?
Transcribed Image Text:Let's eat: A fast-food restaurant chain has 585 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 585 to test market a new menu. Round your answers to four decimal places. Region Population of City NE SE SW NW Under 50,000 32 33 20 50,000 - 500,000 57 91 67 30 Over 500,000 146 20 26 60 Send data to Exel (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 iş 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 (eithen SE or SW), what is the probability that it is in a city with a popylation of 50,000 or more?
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