SOLUTION: 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-

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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?
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
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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?
~~~~~~~~~~~~~~~~~~~~~~ 

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

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