Mathematics, 09.03.2020 19:00 juanitarodrigue
The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.10. (a) Are A1 and A2 mutually exclusive? They mutually exclusive. How could you tell whether or not they are mutually exclusive? P(B | A1) ≠ P(B | A2) P(A1) ≠ P(A1 | A2) P(A1) + P(A2) = 1 P(A1 ∩ A2) = 0 P(A2) ≠ P(A2 | A1)
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