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

ID: 3069519 • 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

  

  

  

  

  

  

Region

  

  

  

Total

Population

1

2

3

4

   Total

1

28

56

33

36

153

2

36

36

44

31

147

3

36

48

34

32

150

Total:

100

140

111

99

450


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.

Question
If a selected restaurant is in a city with a population size under 50,000, what is the probability the restaurant is in the west?

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

  

Explanation / Answer

Ans:

P(under 50,000)=153/450

(west means that NW or SW )

P(west and under 50,000)=(28+56)/450=84/450

Now,

P(west/under 50,000)=P(west and under 50,000)/P(under 50,000)

=(84/450)/(153/450)

=84/153

=0.5490