document.write( "Question 5081: Help--how do i figure this one out? Driving me crazy !!!\r
\n" ); document.write( "\n" ); document.write( "Twenty bearded men gather. Ten have eight-inch beards, six have ten-inch beards, and four have twelve-inch beards. What is the expected length of a randomly selected man from this group?\r
\n" ); document.write( "\n" ); document.write( "Tried 10/20 x 6/20 x 4/20 =12inches, that doesn't seem right. Please help!
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Algebra.Com's Answer #854318 by ikleyn(53875)\"\" \"About 
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\n" ); document.write( "Help--how do i figure this one out? Driving me crazy !!!
\n" ); document.write( "Twenty bearded men gather. Ten have eight-inch beards, six have ten-inch beards, and four have twelve-inch beards.
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\n" ); document.write( "Tried 10/20 x 6/20 x 4/20 =12inches, that doesn't seem right. Please help!
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document.write( "The problem asks about the mathematical expectation.\r\n" );
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document.write( "According to the definition of this quantity, we should calculate\r\n" );
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document.write( "    \"8%2A%2810%2F20%29+%2B+10%2A%286%2F20%29+%2B+12%2A%284%2F20%29\" = \"%281%2F20%29%2A%2880+%2B+60+%2B+48%29\" = \"188%2F20\" = 9.4 inches.\r\n" );
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document.write( "ANSWER.  The expected length is 9.4 inches.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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