document.write( "Question 1159175: Assume X ~ N(10, 25). Find the two values of X (symmetric around the mean) which would contain 75.8% of the distribution.\r
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Algebra.Com's Answer #782430 by Boreal(15235)\"\" \"About 
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If the center 75.8% of the curve is drawn, that leaves 24.2% divided up on each side, so the z-value giving 0.1210 and the z-value giving 0.8790 will be both equal and the boundaries of the distribution.
\n" ); document.write( "z=-1.17 for the first and +1.17 for the second.\r
\n" ); document.write( "\n" ); document.write( "z=(x-mean)/sd
\n" ); document.write( "1.17=(x-10)/5, since the 25 is the variance, sigma^2
\n" ); document.write( "5.85=x-10
\n" ); document.write( "x=15.85 upper limit
\n" ); document.write( "x=4.15 lower limit
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