Which of the following illustrates the concept of statistically independent?
A)P(A|B) = P(A)
B)P(A $\cap$ B) = P(A)*P(B)
C)P(A $\cup$ B) = P(A) + P(B)
D)a and b only
E)all of the above

Question

Quizplus · Accepted Answer

Statistical independence means the occurrence of one event does not affect the probability of the other. This is illustrated by A) P(A|B) = P(A), indicating the probability of A given B is the same as the probability of A alone, and B) P(A ∩ B) = P(A)*P(B), showing the probability of both A and B occurring is the product of their individual probabilities.

Which of the Following Illustrates the Concept of Statistically Independent ∩\cap∩

Which of the Following Illustrates the Concept of Statistically Independent $\cap$