document.write( "Question 384105: The random variable X is normally distributed with mean 79 and variance 144.\r
\n" ); document.write( "\n" ); document.write( "Find\r
\n" ); document.write( "\n" ); document.write( "P(X<70) \r
\n" ); document.write( "\n" ); document.write( "P(64< X <96)\r
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Algebra.Com's Answer #271911 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the z score,
\n" ); document.write( "\"z=%28x-mu%29%2Fsigma\"
\n" ); document.write( "\"z=%28x-mu%29%2Fsqrt%28VAR%29\"
\n" ); document.write( "\"z=%2870-79%29%2Fsqrt%28144%29=-9%2F12=-0.75\"
\n" ); document.write( "Now find \"P%28x%3C70%29=P%28z=-0.75%29\"
\n" ); document.write( "That's your solution.
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\n" ); document.write( "Find two z scores,
\n" ); document.write( "\"z%5B1%5D=%2864-79%29%2Fsqrt%28144%29\"
\n" ); document.write( "\"z%5B2%5D=%2896-79%29%2Fsqrt%28144%29\"
\n" ); document.write( "and
\n" ); document.write( "\"P%2864%3C+x+%3C96%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29\"
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