KEY Region 1 = NW Population 1 = Under 50,000 Region 2 = SW Population 2 = 50,00
ID: 3069562 • 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
Question 1) 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.
Let event
A = Selected restaurant is not in the southwest
B = Selected restaurant is in a city with a population size between 50,000 and 100,000
Events A and B are ____ ? Which of the following options from below best describes Events A and B
1) dependent because P(A and B)=P(B|A)*P(A)
2) dependent because P(A and B)?P(A)+P(B)
3) independent because P(A and B)?P(B|A)*P(A)
4) independent because P(B|A)?P(A)
5) independent because P(A|B)=P(A)
6) independent because P(A and B)=0
7) dependent because P(A and B)=P(A)*P(B)
8) dependent because P(A|B)P(A)
9) independent because P(A and B)?P(A)*P(B)
10) dependent because P(B|A)=P(A)
11) dependent because P(A and B)?0
12) independent because P(A and B)=P(A)+P(B).
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
Question 2) 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.
Let event
A = Selected restaurant is in the west
B = Selected restaurant is in a city with a population size of 50,000 or more
Events A and B are _____? Which of the following options from below best describes Events A and B
1) not mutually exclusive because P(A and B)?P(A)+P(B)
2) not mutually exclusive because P(A and B)=P(B|A)*P(A)
3) mutually exclusive because P(A|B)?P(B)
4) not mutually exclusive because P(B|A)?P(B)
5) mutually exclusive because P(A and B)?P(B|A)*P(A)
6) mutually exclusive because P(B|A)=P(B)
7) mutually exclusive because P(A and B)=P(A)+P(B)
8) not mutually exclusive because P(A and B)0
9) not mutually exclusive because P(A and B)=P(A)*P(B)
10) not mutually exclusive because P(A|B)=P(B)
11) mutually exclusive because P(A and B)=0
12) mutually exclusive because P(A and B)?P(A)*P(B).
Region Total Population 1 2 3 4 1 31 34 36 32 133 2 36 41 43 36 156 3 33 50 44 34 161 Total 100 125 123 102 450Explanation / Answer
P(A) = 1 - (125/450) = 0.7222
P(B) = 156/450 = 0.346666667
Problem 1:
since
P(A and B) = (36+43+36)/450 = 0.2556
P(A) = 0.7222
P(B) = 0.346666667
correct answer: 9) independent because P(A and B) = P(A)*P(B)
Problem 2:
P(A) = (125+110)/450 = 0.52222
P(B) = (148+154)/450 = 0.67111
correct answer: 2) not mutually exclusive because P(A and B)=P(B|A)*P(A)
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