document.write( "Question 977825: A discrete random variable X can assume the values 10 and 20 only. If E (X) = 16,determine the probability distribution of X . \n" ); document.write( "

Algebra.Com's Answer #599376 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Assume that there are a total of

samples comprising this distribution, of which

have a value of 10. Then since the only other value is 20,

samples must have a value of 20.\r
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\n" ); document.write( "\n" ); document.write( "The probability of a 10 value is then

and the probability of a 20 value is

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\n" ); document.write( "\n" ); document.write( "Then, the expected value for the distribution is the probability of a 10 value times 10 and the probability of a 20 values times 20, thus:\r
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\n" ); document.write( "\n" ); document.write( "Solve for

in terms of a fraction of

, and the fraction will be

, the probability of a 10 value.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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