Let's eat: A fast-food restaurant chain has 583 outlets in the United States. The following table categorizes them by city olo population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 583 to test market a new menu. Round your answers to four decimal places. Population Region of City NE SE SW NW Under 50,000 28 35 17 3 50,000 -500,000 60 90 69 27 Over 500,000 150 23 31 50 Send data to Excel (a) Given that the restaurant is located in a city with a population over 300,000, 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 300,000 or less? (d) Given that the restaurant is located in a city with a population of 300,000 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