Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.35 12 of 15 (11 complete) Th

Question

Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.35 12 of 15 (11 complete) The probability of event A. given that event B has occurred, can be found using Bayes's Theorem. P(A) P(B A) RA B). PlA). P(Bl A) + P (A') : P (B| A') Use Bayes's Theorem to find P(Al B) using the probabilities shown below PlA)-0 25. P (A): 075. P( Bl A)-o5, and P(BIA): 07 The probability of event A. given that event B has occurred, is Round to the nearest thousandth as needed.) Enter your answer in the answer box and then click Check Answer

Explanation / Answer

P(A |B) = P(A) * P(B | A) / [ P(A) * P(B | A) + P(A') * P(B | A') ]

= ( 0.25 * 0.5) / ( 0.25 * 0.5 + 0.75 * 0.7)

= 0.192

The probability of event A, given that event B has occured = 0.192

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