fast-food restaurant chain has 599 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 the599 to test market a new menu. Round your answers to four decimal places.   Population of City Region                               NE SE SW NW Under  50,000 29 34 14 6 −50,000500,000 61 92 70 30 Over  500,000 150 20 31 62

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Let's eat: A fast-food restaurant chain has 599 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 the599 to test market a new menu. Round your answers to four decimal places.

 

Population
of City
Region      
                        NE SE SW NW
Under 
50,000
29
34
14
6
−50,000500,000
61
92
70
30
Over 
500,000
150
20
31
62

 

(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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