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BUS 3100 Quantitative Analysis for Business Exam with Questions and Answers
NewBUS 3100 Quantitative Analysis for Business Exam with Questions and Answers 
If P(A)=0.5, P(B)=0.4, and P(A ∩ B)=0.2, what is the relationship between A and B? 
a) Dependent because P(A ∩ B) ≠ P(A) + P(B) 
b) Independent because P(A ∩ B)=P(A)P(B) 
c) Independent because P(A ∪ B)=P(A)P(B) 
d) Dependent because P(A|B) ≠ P(B) 
Correct Answer: b 
Rationale: Independence is defined by P(A ∩ B)=P(A)P(B). Here, 0.5×0.4=0.2, which equals P(A ∩ B), confirming independence. 
 
Which state...