KEY Region 1 = NW Population 1 = Under 50,000 Region 2 = SW Population 2 = 50,00
ID: 3068505 • 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
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.
1) Assuming a selected restaurant is not in a city with population size between 50,000 and 100,000, 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
Count of Population
Region
Total
Population
1
2
3
4
1
38
35
43
32
148
2
53
38
27
30
148
3
34
37
36
47
154
Total:
125
110
106
109
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.
2) If a selected restaurant is in a city with a population size under 50,000, what is the probability the restaurant is in the south?
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
1)P( restaurant is in the west| not in city with population size between 50,000 and 100,000)
=P(region 1 or 2|not in population 2) =(38+35+34+37)/(148+154)=144/302 =0.4768
2)
P( restaurant is in the south| population size under 50,000)
P(region 2 and 4|population1 )=(35+32)/148=67/148=0.4527
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