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# P( A 1 ) = .20, P( A 2 ) = .40, and P( A 3 ) = . P( B 1 | A 1 ) = . P( B 1 | A 2 ) = .05, and P( B 1 | A 3 ) = . Use Bayes' theorem to determine P (...

 P(A1) = .20, P(A2) = .40, and P(A3) = .40.  P(B1|A1) = .25. P(B1|A2) = .05, and P(B1|A3) = .10.

 Use Bayes' theorem to determine P(A3|B1). (Round your answer to 4 decimal places.)

 P(A3|B1)

P(a3|b1) = P(a3)P(b1|a3) / [ P(a1)P(b1|a1) +... View the full answer

P(B1) = 0.20*0.25 + 0.40*0.05 + 0.40*0.10 P(B1) = 0.05 +... View the full answer

Probability of B1 happening is the combined probability of first A1 happening then B1 happening +... View the full answer

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