Mathematics, 11.06.2020 21:57 daphnevlogs11

According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as foll...

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