Let's eat: A fast-food restaurant chain has 594 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 594

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

Population of City	Region
NE	SE	SW	NW
Under 50,000	31	36	11	3
50,000500,000	60	88	69	27
Over 500,000	148	29	33	59

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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 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?

Part 1 of 5

Given that the restaurant is located in a city with a population over

500,000 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 under 50,000 is ? .

Part 3 of 5

Given that the restaurant is located in the Southwest, the probability that it is in a city with a population of 500,000 or less is ? .

Part 4 of 5

Given that the restaurant is located in a city with a population of 500,000 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 of

50,000 or more is ?

.