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 10. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 21 and 41?

Answer 1

Solution:

We are given:

We are required to find the percentage of lightbulb replacement requests numbering between 21 and 41

Using the z-score formula, we have:

Using the empirical rule of the normal distribution about 47.5% of the data lies below the two standard deviations of the mean.

Therefore, the percentage of lightbulb replacement requests numbering between 21 and 41 is 47.5%

answered by: anonymous