document.write( "Question 59057: please help me in this \r
\n" ); document.write( "\n" ); document.write( "two distinct integer are chosen at random and without replacment from the first six positive integers, compute the expected value of the absolute value of the difference of these two numbers. \n" ); document.write( "
Algebra.Com's Answer #40498 by stanbon(75887)\"\" \"About 
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two distinct integer are chosen at random and without replacment from the first six positive integers, compute the expected value of the absolute value of the difference of these two numbers.
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\n" ); document.write( "Some problems you just have to do by brute force.
\n" ); document.write( "List the numbers 1 to 6
\n" ); document.write( "Form all possible pairs with repeating in any pair:
\n" ); document.write( "1,2;1,3;1,4;1,5;1,6
\n" ); document.write( " 2,3;2,4; etc.
\n" ); document.write( "Near each pair put the abolute value of the difference for each pair.
\n" ); document.write( "1;2;3;4;5
\n" ); document.write( " 1;2;3;4
\n" ); document.write( " 1;2;3
\n" ); document.write( " 1;2
\n" ); document.write( " 1
\n" ); document.write( "--------------
\n" ); document.write( "There are 15 differences
\n" ); document.write( "P(1)=5/15
\n" ); document.write( "P(2)=4/15
\n" ); document.write( "P(3)=3/15
\n" ); document.write( "P(4)=2/15
\n" ); document.write( "P(5)=1/15
\n" ); document.write( "--------------
\n" ); document.write( "You know how to calculate expected value:
\n" ); document.write( "1*(5/15)+2*(4/15)+3*(3/15)+4(2/15)+5(1/15)
\n" ); document.write( "=35/15=7/3=2 1/3
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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