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 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 26 and 41?

Answer 1

Answer:

Given that,

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 68-95-99.7 rule.

What is the approximate percentage of lightbulb replacement requests numbering between 26 and 41:

i.e,

, =5

Z is the standard normal variable, which is given by

P(26 < X < 41):

=P(-3 < Z < 0)

=0.4987

Therefore, the percentage of lightbulb replacement requests numbering between 26 and 41 is 49.87%.