Let's eat:A fast-food restaurant chain has613

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 the613to test market a new menu. Round your answers to four decimal places.

Population of city Region

NE SE SW NW

Under 50,000 33 38 15 4

50,000- 500,000 62 93 69 34

Over 500,000 152 26 32 55

(a) Given that the restaurant is located in a city with a population of over500,000 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 under50,000?

(c) Given that the restaurant is located in the Southwest, what is the probability that it is in a city with a population of500,000 or less?

(d) Given that the restaurant is located in a city with a population of500,000or 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 of50,000 or more?