document.write( "Question 1206171: The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 51 and a standard deviation of 3. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 51? \n" ); document.write( "

Algebra.Com's Answer #843427 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The physical plant at the main campus of a large state university receieves daily requests
\n" ); document.write( "to replace $\"highlight%28cross%28florecent%29%29\"$ fluorescent lightbulbs. The distribution of the number of daily requests
\n" ); document.write( "is bell-shaped and has a mean of 51 and a standard deviation of 3.
\n" ); document.write( "Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement
\n" ); document.write( "requests numbering between 42 and 51?
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document.write( "Notice that in this problem 42 is three standard deviations from the mean of 51.\r\n" );
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document.write( "The Empirical Rule states that 99.7% of data observed following a normal distribution \r\n" );
document.write( "lies within 3 standard deviations of the mean. \r\n" );
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document.write( "Since the normal distribution is symmetric, we may conclude that the percentage of lightbulb \r\n" );
document.write( "replacement requests numbering between 42 and 51 is half of 99.7%, i.e. 49.85%.    ANSWER\r\n" );
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