document.write( "Question 1205159: When Tallulah commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 48 minutes and a standard deviation of 4 minutes. Using the empirical rule, what percentage of her commutes will be between 36 and 60 minutes?\r
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Algebra.Com's Answer #842292 by Theo(13342) $\"\"$ $\"About$

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mean is 48 minutes.
\n" ); document.write( "standard deviation is 4 minutes.
\n" ); document.write( "36 minutes is 12 minutes less than 48 minutes.
\n" ); document.write( "divide that by 4 and you get 3 standard deviations.
\n" ); document.write( "60 minutes is 12 minutes greater than 48 minutes.
\n" ); document.write( "divide that by 4 and you get 3 standard deviations.
\n" ); document.write( "your percentage will be plus or minus 3 standard deviations from the mean.
\n" ); document.write( "by the empirical rule, that represents 99.7% of the area under the normal distribution curve.
\n" ); document.write( "therefore, 99.7% of her commutes will be between 36 and 60 minutes.
\n" ); document.write( "here's a reference on the empirical rule.
\n" ); document.write( "https://online.stat.psu.edu/stat800/lesson/2/2.2 \n" ); document.write( "

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