KEY Region 1 = NW Region 2 - ST Region 3 NE Region 4 = S Population 1 = Under 50

Question

KEY Region 1 = NW Region 2 - ST Region 3 NE Region 4 = S Population 1 = Under 50,000 Population 250,000 100,000 Population 3 Over 100,000 Count of Population Region Total Population 34 36 35 105 34 27 35 96 144 151 155 450 38 38 37 48 119 Total: 130 Big Burger is a fast food restaurant that has 450 locations all over the U.S. Use the excel output above to answer the following question. What is the probability a selected restaurant is not in the northeast and in a city with a population size between 50,000 and 100,000?

Explanation / Answer

The probability that the selected restaurant is not in the northeast region and in a city with population size between 50,000 and 100,000 is given by

=P(the selected restaurant is not in the northeast region)*P(the selected restaurant is in  city with population size between 50,000 and 100,000)

where,

P(the selected restaurant is not in the northeast region)=1- P(the selected restaurant is in the northeast region)

=1- (96/450)

=(450-96)/450

=354/450

and

P(the selected restaurant is in city with population size between 50,000 and 100,000)=151/450

Hence the required probability is =(354/450)*(151/450)

=(354*151/450*450)

=(53454/202500)

=0.2639

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