According to Bayes Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A/B)=- P(A) P(B) A) + P (A) •P(BA) Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 3 1 P(A) = —, P (A') = ₁ P(B| A) = - 7 10 1 and P (B| A) = *** 7 10 The probability of event A, given that event B has occurred, is P(A| B)= (Round to the nearest thousandth as needed.)

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According to Bayes Theorem, the probability of event A, given that event B has occurred, is as follows.
P(A) • P(BA)
P(A) • P(B| A) + P (A) •P(BA)
Use Bayes' Theorem to find P(A| B) using the probabilities shown below.
P(A| B)=
3
1
7
P(A) = —, P (A') = ₁. P(B| A) = and P (B| A) = TO
4
10
10
The probability of event A, given that event B has occurred, is P(A| B)=
(Round to the nearest thousandth as needed.)
DELL
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Transcribed Image Text:According to Bayes Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) • P(BA) P(A) • P(B| A) + P (A) •P(BA) Use Bayes' Theorem to find P(A| B) using the probabilities shown below. P(A| B)= 3 1 7 P(A) = —, P (A') = ₁. P(B| A) = and P (B| A) = TO 4 10 10 The probability of event A, given that event B has occurred, is P(A| B)= (Round to the nearest thousandth as needed.) DELL Next
Expert Solution
Step 1

Given that 

P(A) = 1/4 , P(A') = 3/4 , P(B/A) = 1/10

, P(B/A') = 7/10 

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