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KEY Region 1 = NW Population 1 = Under 50,000 Region 2 = SW Population 2 = 50,00

ID: 3069046 • Letter: K

Question

KEY

Region 1 = NW Population 1 = Under 50,000

Region 2 = SW Population 2 = 50,000 - 100,000

Region 3 = NE Population 3 = Over 100,000

Region 4 = SE

Count of Population

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.
1) What is the probability a selected restaurant is in the east or in a city with a population size of 50,000 or more?

KEY

Region 1 = NW Population 1 = Under 50,000

Region 2 = SW Population 2 = 50,000 - 100,000

Region 3 = NE Population 3 = Over 100,000

Region 4 = SE  

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.
2) Given a selected restaurant is not in the northeast, what is the probability the restaurant is in a city with a population size of 50,000 or more?

Region Total Population 1 2 3 4 1 38 34 42 42 156 2 39 32 36 40 147 3 40 41 29 37 147 Total 117 107 107 119 450

Explanation / Answer

1)probability a selected restaurant is in the east or in a city with a population size of 50,000 or more

=P(region 3 or 4 or population 2 or 3)=(42+42+36+40+29+37+39+32+40+41)/450=378/450=0.84

2)

probability the restaurant is in a city with a population size of 50,000 or more given not in northeast

=(36+33+41+50+36+34)/(100+125+102)=230/327 =0.7034