document.write( "Question 824317: Using the given information, find the expected value. X = 0, 1, 2, 4, 6 and the respective probabilities are .1, .2, ?, .3, .3
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document.write( " A) 3.5
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document.write( " B) 3.6
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document.write( " C) 3.3
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document.write( " D) 3.4
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Algebra.Com's Answer #496300 by Edwin McCravy(20077) You can put this solution on YOUR website! \r\n" ); document.write( "X P(X)\r\n" ); document.write( "--------- \r\n" ); document.write( "0 .1\r\n" ); document.write( "1 .2 \r\n" ); document.write( "2 ?\r\n" ); document.write( "4 .3\r\n" ); document.write( "6 .3\r\n" ); document.write( "\r\n" ); document.write( "For this to be a probability distribution, the sum\r\n" ); document.write( "of the probabilities must = 1. So since the probability\r\n" ); document.write( "of the other four values of X have sum\r\n" ); document.write( ".1+.2+.3+.3 = .9, then P(2) = 1.0-.9 = .1 and the\r\n" ); document.write( "distribution is:\r\n" ); document.write( "\r\n" ); document.write( "X P(X) E(X)=X·P(X)\r\n" ); document.write( "-------------------------- \r\n" ); document.write( "0 .1 0 \r\n" ); document.write( "1 .2 .2\r\n" ); document.write( "2 .1 .2\r\n" ); document.write( "4 .3 1.2\r\n" ); document.write( "6 .3 1.8\r\n" ); document.write( "-------------------------- \r\n" ); document.write( "Sum = 1 ∑E(X) = 3.4\r\n" ); document.write( "\r\n" ); document.write( "Answer: ∑E(X) = 3.4 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |