(a) Suppose that P(AUB) = 0.6, P (A) = 0.3 and P(An B) = 0.1. Are events A and B independent? (b) Suppose that the events A and B are mutually exclusive with P (A) =0.3 and P (B) = 0.2. Are events A and B independent? (c) Suppose that P(A) = .60 and P(B) = .50. Are events A and B mutually exclusive? (d) Suppose that P(A) = 0.9 and P(B) = 0.7. Is it possible to have P(ANB) = 0.4?

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(a) Suppose that P(A U B) = 0.6, P (A) = 0.3 and P(An B) = 0.1. Are events A and B
independent?
(b) Suppose that the events A and B are mutually exclusive with P (A) =0.3 and P (B) =
0.2. Are events A and B independent?
(c) Suppose that P(A) = .60 and P(B) = .50. Are events A and B mutually exclusive?
(d) Suppose that P(A) = 0.9 and P(B) = 0.7. Is it possible to have P(AnB) = 0.4?
Transcribed Image Text:(a) Suppose that P(A U B) = 0.6, P (A) = 0.3 and P(An B) = 0.1. Are events A and B independent? (b) Suppose that the events A and B are mutually exclusive with P (A) =0.3 and P (B) = 0.2. Are events A and B independent? (c) Suppose that P(A) = .60 and P(B) = .50. Are events A and B mutually exclusive? (d) Suppose that P(A) = 0.9 and P(B) = 0.7. Is it possible to have P(AnB) = 0.4?
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given dataindependent event  : P(AB) = P(A)*P(B)mutually exclusive events : P(AB) = 0

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