SOLUTION: Which pairs of events are independent? (a) P(A) = 0.29, P(B) = 0.52, P(A∩B) = 0.12. (b) P(A) = 0.31, P(B) = 0.21, P(A∩B) = 0.05. (c) P(A) = 0.80, P(B) = 0.30, P(A∩B) =

Algebra ->  Probability-and-statistics -> SOLUTION: Which pairs of events are independent? (a) P(A) = 0.29, P(B) = 0.52, P(A∩B) = 0.12. (b) P(A) = 0.31, P(B) = 0.21, P(A∩B) = 0.05. (c) P(A) = 0.80, P(B) = 0.30, P(A∩B) =       Log On


   

Question 1181184: Which pairs of events are independent?

(a) P(A) = 0.29, P(B) = 0.52, P(A∩B) = 0.12.
(b) P(A) = 0.31, P(B) = 0.21, P(A∩B) = 0.05.
(c) P(A) = 0.80, P(B) = 0.30, P(A∩B) = 0.30.
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!

Events A and B are independent if: knowing whether A occured does not change the probability of B. Mathematically, can say in two equivalent ways:
P(B|A) = P(B) or

P(A and B) = P(B ∩ A) = P(B) × P(A).

John

My calculator said it, I believe it, that settles it

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