Which pairs of events are independent a PA 029 PB 052 PAB

Which pairs of events are independent? (a) P(A) = 0.29, P(B) = 0.52, P(AB) = 0.12. A and B are ________. (b) P(A) = 0.31, P(B) = 0.21, P(AB) = 0.05. A and B are _______. (c) P(A) = 0.80, P(B) = 0.30, P(AB) = 0.30. A and B are ______.

Solution

the pairs of events which product P(A) * P(B) is equal to P(A intercep B) will be indepdent

in this case

(a) P(A) = 0.29, P(B) = 0.52, P(AB) = 0.12. A and B are ________.

P(A)*P(B)= 0.1508 are dependents

(b) P(A) = 0.31, P(B) = 0.21, P(AB) = 0.05. A and B are _______.

P(A)*P(B) = 0.0651 are dependents

(c) P(A) = 0.80, P(B) = 0.30, P(AB) = 0.30. A and B are ______.

P(A)*P(B)= 0.24 are dependts