document.write( "Question 1206320: A sample is selected from one of two populations,
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\n" ); document.write( "P(S1) = 0.7
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\n" ); document.write( "P(S2) = 0.3.
\n" ); document.write( " The probabilities that an event A occurs, given that event
\n" ); document.write( "S1
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\n" ); document.write( "P(A|S1) = 0.4
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\n" ); document.write( "P(A|S2) = 0.3
\n" ); document.write( "and the probability of event A is
\n" ); document.write( "P(A) = 0.37.
\n" ); document.write( "Use Bayes' Rule to find
\n" ); document.write( "P(S2|A).
\n" ); document.write( " (Round your answer to four decimal places.)
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Algebra.Com's Answer #843681 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "While this can done using the conditional probability equation,\r\n" );
document.write( "as Ikleyn has shown, we were asked to use Bayes' Rule, (which is\r\n" );
document.write( "proved by using the conditional probability equation). Bayes' rule \r\n" );
document.write( "is this proportion:\r\n" );
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document.write( "\"P%28%22X%7CY%22%29%2FP%28%22Y%7CX%22%29\"\"%22%22=%22%22\"\"P%28X%29%2FP%28Y%29\"\r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "\"P%28%22S2%7CA%22%29%2FP%28%22A%7CS2%22%29\"\"%22%22=%22%22\"\"P%28S2%29%2FP%28A%29\"\r\n" );
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document.write( "\"P%28%22S2%7CA%22%29%2F0.3\"\"%22%22=%22%22\"\"0.3%2F0.37\"\r\n" );
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document.write( "\"P%28%22S2%7CA%22%29\"\"%22%22=%22%22\"\"%280.3%2A0.3%29%2F0.37\"\"%22%22=%22%22\"\"%220.2432432432...%22\"\r\n" );
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document.write( "That rounds to 0.2432\r\n" );
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document.write( "Edwin
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