document.write( "Question 626509: For a normal distribution that has a mean of 100 and a standard deviation of 8. Determine the Z-score for each of the following X values:
\n" ); document.write( "X=70 Z=-3.75
\n" ); document.write( "X=124 Z=3\r
\n" ); document.write( "\n" ); document.write( "Use the information in 1 to determine the area or probability of
\n" ); document.write( " p(92 < x < 108)
\n" ); document.write( "p(84 < x < 116)
\n" ); document.write( "p(x < 84)
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Algebra.Com's Answer #394250 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Important to Understand z -values as they relate to the Standard Normal curve:
\n" ); document.write( "Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
\n" ); document.write( "Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and %50 to the right
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\n" ); document.write( "For the normal distribution:
\n" ); document.write( "one standard deviation from the mean accounts for about 68.2% of the set
\n" ); document.write( "two standard deviations from the mean account for about 95.4%
\n" ); document.write( "and three standard deviations from the mean account for about 99.7%.
\n" ); document.write( "a normal distribution that has a mean of 100 and a standard deviation of 8.
\n" ); document.write( "p(92 < x < 108)= .682
\n" ); document.write( " p(84 < x < 116) = .954
\n" ); document.write( " p(x < 84) = (1-.954)/2 \n" ); document.write( "
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