KEY Region 1 = NW Population 1 = Under 50,000 Region 2 = SW Population 2 = 50,00
ID: 3068538 • 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.
Let event
A = Selected restaurant is not in the northeast
B = Selected restaurant is in a city with a population size between 50,000 and 100,000
Events A and B are __
Choose True (T) or False (F) for the following
1) dependent because P(A and B)0
2) independent because P(B|A)P(A)
3) dependent because P(A|B)P(B)
4) independent because P(A and B)P(B|A)*P(A)
5) dependent because P(A and B)=P(A)+P(B)
6) independent because P(A and B)=P(A)*P(B)
7) dependent because P(B|A)=P(A)
8) independent because P(A|B)=P(B)
9) dependent because P(A and B)=P(B|A)*P(A)
10) independent because P(A and B)P(A)+P(B)
11) dependent because P(A and B)P(A)*P(B)
12) independent because P(A and B)=0
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 450Explanation / Answer
P(A) =P(not in northeqast)=1-P(in northeast) =1-(region 3)=1-96/450=0.7867
P(B)=P(Population 2)=151/450=0.3356
P(A n B)=(36+55+33)/450=0.2756
P(B|A)=(36+55+33)/(450-96)=0.3503
P(A|B) =(36+55+33)/151=0.8212
1) dependent because P(A and B)0 --false
2) independent because P(B|A)P(A) -- --false
3) dependent because P(A|B)P(B) --false
4) independent because P(A and B)P(B|A)*P(A) --false
5) dependent because P(A and B)=P(A)+P(B) --false
6) independent because P(A and B)=P(A)*P(B) --false
7) dependent because P(B|A)=P(A) -- false
8) independent because P(A|B)=P(B) --false
9) dependent because P(A and B)=P(B|A)*P(A) --false
10) independent because P(A and B)P(A)+P(B) --false
11) dependent because P(A and B)P(A)*P(B) -- True
12) independent because P(A and B)=0 --false
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