Answered: fast-food restaurant chain has 599…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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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