Given P (A)= 0.40, P (B)= 0.50, P (A $\cap$ B)= 0.15.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

If A and B were independent, then P(A ∩ B) = P(A) * P(B) = 0.4 * 0.5 = 0.2. However, P(A ∩ B) = P(A F1F1F1S1F1F1F10 B)= 0.15, which is not equal to 0.2. Therefore, A and B are not independent.

Given P (A)= 0 ∩\cap∩ B)= 015Which of the Following Is True? A)A and B Are

Given P (A)= 0 $\cap$ B)= 015Which of the Following Is True?
A)A and B Are