document.write( "Question 581258: Let the random variable X follow a normal probability distribution with a mean 10 and a standard deviation of 2.\r
\n" ); document.write( "\n" ); document.write( "Using the above information, find x such that P(X>x)=0.05; find x such that P(X\n" ); document.write( "\n" ); document.write( "What is the breakdown of this problem? Help!\r
\n" ); document.write( "\n" ); document.write( "Thank You! \n" ); document.write( "
Algebra.Com's Answer #371538 by stanbon(75887)\"\" \"About 
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Let the random variable X follow a normal probability distribution with a mean 10 and a standard deviation of 2.
\n" ); document.write( "Using the above information, find x such that P(X>x)=0.05; find x such that P(X What is the breakdown of this problem? Help!
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\n" ); document.write( "Draw a normal curve with horizontal axis \"x\".
\n" ); document.write( "Shade a right tail area that has 5% of the area under the curve
\n" ); document.write( "and to the right.
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\n" ); document.write( "Draw a normal curve with horizontal axis \"z\".
\n" ); document.write( "Find the z-value that has a right tail of 5%
\n" ); document.write( "z = invNorm(0.95) = 1.6449
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\n" ); document.write( "Find the correspondina \"x\" value:
\n" ); document.write( "x = zs + u
\n" ); document.write( "x = 1.6449*2+10 = 13.2898
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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