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The physical plant at the main campus of a large state university receieves daily requests
to replace 
fluorescent 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?
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Notice that in this problem 42 is three standard deviations from the mean of 51.
The Empirical Rule states that 99.7% of data observed following a normal distribution
lies within 3 standard deviations of the mean.
Since the normal distribution is symmetric, we may conclude that the percentage of lightbulb
replacement requests numbering between 42 and 51 is half of 99.7%, i.e. 49.85%. ANSWER
Solved.
