- #1

- 3

- 0

**This question is as follows:**

1)Assume that the number of items borrowed per person per year in a library

is normally distributed with a mean of 87 and a standard deviation of 4.

These values describe the distribution of borrowing for the entire

population of users in this library.

a) What is the mode for this distribution?

b) What is the median of this distribution?

c) Roughly sketch the distribution. Place the number of items borrowed on

the x axis and the number of individuals on the y axis. Indicate the

location and values of the mean and the +two and +three standard deviations

on the x axis.

d)What percent of the population borrow between 83 and 91 items per year?

e) What percent of the population borrow between 79 and 95 items per year?

f) What percent of the population borrow more than 95 items per year?

**Work I've done:**

Not much. I'm having trouble knowing how to get started on the equation. I don't

understand how having only the mean (87) and the standard deviation (4) is

enough information to let me figure out the mode and median. It doesn't

make sense to me.

I know how to get the standard deviation from the mean when I have all of

the data points, but there are no data points given in this problem.

Any help would be much appreciated!