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 8 . Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 43 and 51 ? Do not enter the percent symbol. ans =

To determine the approximate percentage of lightbulb replacement requests numbering between 43 and 51, we can use the Empirical Rule, which applies to bell-shaped distributions. The mean is 51, and the standard deviation is 8. First, we need to find how many standard deviations 43 is from the mean. 43 is 1 standard deviation below the mean (51 - 8 = 43). According to the Empirical Rule: - About 68% of the data falls within one standard deviation of the mean. - This means that from 43 to 51 (one standard deviation below the mean to the mean) captures half of that 68%, which is 34%. So, the approximate percentage of lightbulb replacement requests numbering between 43 and 51 is 34. ans = 34