document.write( "Question 102450: Let P(x) be the probability function of a discrete random variable x which assumes the values x1, x2, x3, x4, such that 2P(x1) = 3P(x2) = P(x3) = 5P(x4). Find the probability distribution of x. \n" ); document.write( "
Algebra.Com's Answer #74445 by stanbon(75887)\"\" \"About 
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Let P(x) be the probability function of a discrete random variable x which assumes the values x1, x2, x3, x4, such that 2P(x1) = 3P(x2) = P(x3) = 5P(x4). Find the probability distribution of x.
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\n" ); document.write( "The least common multiple of 2,3,1,and 5 is 30
\n" ); document.write( "So to avoid fractions:\r
\n" ); document.write( "\n" ); document.write( "Let P(x3) be 30x
\n" ); document.write( "Then:
\n" ); document.write( "P(x4)= 6x
\n" ); document.write( "P(x2)= 10x
\n" ); document.write( "P(x1)= 15x
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\n" ); document.write( "Since the probabilities must sum to one you get:
\n" ); document.write( "30x + 6x +10x + 15x = 1
\n" ); document.write( "61x = 1
\n" ); document.write( "x = 1/61
\n" ); document.write( "-----------
\n" ); document.write( "P(x3)=30/61
\n" ); document.write( "P(x4)=6/61
\n" ); document.write( "P(x2)=10/61
\n" ); document.write( "P(x1)=15/61
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "
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