True or False: For two events A and B, suppose P(A) = 0.35, P(B) = 0.65, and P(B|A) = 0.35. Then A and B areindependent.

Name: True or False: For two events A and B, suppose P(A) = 0.35, P(B) = 0.65, and P(B|A) = 0.35. Then A and B areindependent.
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Question

Quizplus · Accepted Answer

Events A and B are independent if P(A and B) = P(A) * P(B). Given P(B|A) = 0.35, we find P(A and B) = P(A) * P(B|A) = 0.35 * 0.35 ≠ P(A) * P(B), thus A and B are not independent.

True or False: for Two Events a and B, Suppose