A recent study found that 70% of college students at Queen University are on a sports team. Suppose that 7 students are randomly selected for a study.
1) Find the mean number of students that participate in college athletics. (Exact answer).
2) Find the standard deviation of this binomial distribution. (Round to 3 decimal places as needed).
3) Find the probability that exactly 6 students participate in college athletics. (Round to 3 decimal places as needed).
4) Find the probability that 5 or fewer students participate in college athletics. (Round to 3 decimal places as needed).
5) Find the probability that 6 or more students participate in college athletics. (Round to 3 decimal places as neede