Lightbulbs

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the empirical rule, what is the approximate percentage of light bulb replacement requests numbering between 38 and 48?

Final Answer:

p =  34.13 %

Step-by-step explanation:

$$\begin{gathered} \mu =48 \\ \sigma =10 \\ {p}_0=N(38<x<48) \\ {p}_0=0.3413 \\ p=100\cdot p_0=100\cdot 0.3413=34.13\% \end{gathered}$$

Use the normal distribution table.

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