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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows:
\[
P(A|B) = \frac{P(A) \cdot P(B|A)}{P(A) \cdot P(B|A) + P(A') \cdot P(B|A')}
\]
Use Bayes' Theorem to find \(P(A|B)\) using the probabilities shown below.
\[
P(A) = \frac{1}{4}, \quad P(A') = \frac{3}{4}, \quad P(B|A) = \frac{1}{10}, \quad P(B|A') = \frac{7}{10}
\]
---
The probability of event A, given that event B has occurred, is \(P(A|B) = \) [ ].
(Round to the nearest thousandth as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96d4c8cb-af63-459c-8cdf-c777fdfe530a%2F1666ed8f-5517-45d0-9b19-408a6bb7e56b%2Fok7ydjw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows:
\[
P(A|B) = \frac{P(A) \cdot P(B|A)}{P(A) \cdot P(B|A) + P(A') \cdot P(B|A')}
\]
Use Bayes' Theorem to find \(P(A|B)\) using the probabilities shown below.
\[
P(A) = \frac{1}{4}, \quad P(A') = \frac{3}{4}, \quad P(B|A) = \frac{1}{10}, \quad P(B|A') = \frac{7}{10}
\]
---
The probability of event A, given that event B has occurred, is \(P(A|B) = \) [ ].
(Round to the nearest thousandth as needed.)
Expert Solution
Step 1
Given that
P(A) = 1/4 , P(A') = 3/4 , P(B/A) = 1/10
, P(B/A') = 7/10
Step by step
Solved in 2 steps with 1 images
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