Question

Which pairs of events are independent?
(a) p(a) = 0.51, p(b) = 0.26, p (a n b) = 0.14.

Answer 1

Events A and B are dependent, not independent.

Step-by-step explanation:

Events A and B are independent if P(A AND B) = P(A)P(B).

Given that p(a) = 0.51, p(b) = 0.26, and p(a n b) = 0.14, we can check if these events are independent by calculating P(A AND B) and P(A)P(B).

P(A AND B) = p(a n b) = 0.14

P(A)P(B) = 0.51 * 0.26 = 0.1326

Since P(A AND B) is not equal to P(A)P(B), events A and B are dependent, not independent.