Q:

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 60 and a standard deviation of 11. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 60 and 71?

Accepted Solution

A:
Answer: 34%Step-by-step explanation:According to the Empirical rule,About 68% of the population lies with in one standard deviation from the mean.i.e. About  34% of the population lies above one standard deviation from the mean . and About 34% of the population lies below one standard deviation from the mean.Given : The distribution of the number of daily requests is bell-shaped ( i.e. Normally distribution) and has a mean of 60 and a standard deviation of 11. i.e. [tex]\mu=60\ \ \sigma=11[/tex]Using the Empirical Rule rule,  34% of the population of lightbulb replacement requests lies above one standard deviation from the mean . i.e. About 34% of the population of lightbulb replacement requests lies between [tex]\mu[/tex] and [tex]\mu+\sigma[/tex]i.e. About   34% of the population of lightbulb replacement requests lies between [tex]60[/tex] and [tex]60+11[/tex]i.e. About  34% of the population of lightbulb replacement requests lies between 60 and 71Hence, the approximate percentage of lightbulb replacement requests numbering between 60 and 71 = 34%