Suppose 15% of students enrolled at a community college use the college library. A random sample of 29 students is selected.

Assuming independence, use the binomial formula or software (recommended) to answer the following questions.

What is the probability that, of the 29 students selected:

1. exactly 4 use the college library?
2. exactly 23 do not use the college library?
3. none of them use the college library?
4. at most 8 use the college library?
5. at least 4 use the college library?
6. more than half use the college library?
7. at least 4 but no more than 11 use the college library?
8. less than 2 or more than 9 use the college library?

Calculate the mean and standard deviation of students that use the college library.

If you expect to find exactly 12 students that use the college library, how large a sample should you select?