12 KEY Region 1 = NW Population 1 = Under 50,000 Region 2 = SW Population 2 = 50
ID: 3069530 • Letter: 1
Question
12
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
1
34
38
34
38
144
2
36
55
27
33
151
3
35
37
35
48
155
Total:
105
130
96
119
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:
Given a selected restaurant is not in the southwest, what is the probability the restaurant is in a city with a population size of 100,000 or less?
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
probability the restaurant is in a city with a population size of 100,000 or less given not in south west
=P(population 1 or 2|not in region 2) =(144-38+151-55)/(450-130)=202/320 =0.63125
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