Given P (A)= 0.45, P (B)= 0.30, P (A$\cap$ B)= 0.05.Which of the following is true?
A)A and B are independent
B)A and B are mutually exclusive
C)A and B are collectively exhaustive
D)A and B are not independent
E)A and B are complimentary

Question

Quizplus · Accepted Answer

Events A and B are not independent because P(A ∩ B) ≠ P(A)P(B). Given P(A ∩ B) = 0.05, if A and B were independent, we would expect P(A ∩ B) = P(A)P(B) = 0.45 * 0.30 = 0.135, which is not the case.

Given P (A)= 0 ∩\cap∩ B)= 005Which of the Following Is True? A)A and B Are

Given P (A)= 0 $\cap$ B)= 005Which of the Following Is True?
A)A and B Are