Question

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 41 and a standard deviation of 5. using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 36 and 41?

Answer 1

a standard deviation of 5 and a mean of 41. Using the empirical rule (described in the book), the percentage of requests for replacement lightbulbs that fall between 36 and 41 is approximately 26.5%.

One standard deviation (+1), or 41 plus five, above the mean, is equal to 46.

41 - 5 = 36 is equal to one standard deviation (-1) below the mean.

A normal distribution has 68% of its data between -1 and +1; between 36 and 46 requests and between 41 and 46 requests (between the mean and +1) make up half of this range. 53/2 = 26.5%

Response: 26.5%

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