Let's eat:A fast-food restaurant chain has609

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 the609 to test market a new menu. Round your answers to four decimal places.

Population Region

of City NE SE SW NW

Under50,000 30 39 20 7

50,000-500,000 61 88 69 28

Over500,000 148 21 31 67

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(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 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 of500,000or 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 of50,000 or more?

Part 1 of 5

Given that the restaurant is located in a city with a population over500,000

, the probability that it is in the Northeast is

.

Part 2 of 5

Given that the restaurant is located in the Southeast, the probability that it is in a city with a population under50,000is

.

Part 3 of 5

Given that the restaurant is located in the Southwest, the probability that it is in a city with a population of500,000 or less is

.

Part 4 of 5

Given that the restaurant is located in a city with a population of500,000

or less, the probability that it is in the Southwest is

.

Part 5 of 5

Given that the restaurant is located in the South (either SE or SW), the probability that it is in a city with a population of50,000

or more is

.