Which of the following are equivalent to the statement AA and BB are independent? A. P(A)P(B)=P(A...
Which of the following are equivalent to the statement AA and BB
are independent?
A. P(A)P(B)=P(A and B)P(A)P(B)=P(A and B)
B. AA and BB cannot occur at the same time.
C. Knowing that AA occurs means BB cannot
occur.
D. P(B|A)=P(B)P(B|A)=P(B)
E. P(A and B)=0P(A and B)=0
F. AA can happen without BB happening.
G. Knowing that AA occurs does not change the
likelihood of BB
H. P(A|B)=P(A)P(A|B)=P(A)
Homework Answers
Solution :
If A and B are independent then,
P(A and B) = P(A) P(B) ,
P(B | A) = P(B)
P(A | B) = P(A) Options A, D, and H are equivalent.
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