A fast-food restaurant chain has outlets in the United States. The following tab

Question

A fast-food restaurant chain has 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 to test market a new menu NortheastSoutheastSouthwestNorthwest Population Under 50,000 50,000-500,00060 35 80 25 15 70 30 28 36 Over 500,000 140 96 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? Write only a number as your answer. Round to two decimal places (for example 0.49). Do not write as a percentage.

Explanation / Answer

Solution:-

1) Probability of restaurents guven that is in a city with a population over 500,000 and located in Northeast = 0.481

Number of restaurents that are located in a city with a population over 500,000 = 140 + 25 + 30 + 96 = 291

Number of restaurents that are located in Northeast = 140

Probability of restaurents guven that is in a city with a population over 500,000 and located in Northeast = 140/291

Probability of restaurents given that is in a city with a population over 500,000 and located in Northeast = 0.481

2)

Probability of restaurent given that it is located in northwest and city with a population over 50,000 is 0.37.

Number of restaurents that are located in a city with a population over 50,000 = 30 + 50

Number of restaurents that are located in Northwest = 139 + 30 + 50 = 219

Probability of restaurent given that it is located in northwest and city with a population over 50,000 = 80/219

Probability of restaurent given that it is located in northwest and city with a population over 50,000 is 0.37.

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