## Math 113: Study Guide Chapters 3 - 4

1. Find the probability of an event happening given the likelihood that it will happen in comparison to the likelihood that it won't. For example - if a "six" is twice as likely to appear on a single roll of a die as any other number is, then the probability of rolling a "six" is 2/7.
2. Find a probability. Look at problems 3.2.3 - 3.2.15.
3. Identify which values can be probabilities. Look at problem 3.2.1.
4. Find the expected value. Look at problems 4.2.13 - 4.2.14.
5. Find probabilities as relative frequencies given observed frequencies. Look at problems 3.3.13 - 3.3.24.
6. Find the mean and standard deviation of a binomial distribution. Look at problems 4.4.5 - 4.4.12.
7. Setup a binomial probability problem. Use the calculator and the binomial program to find the answer. Identify success (this is an English statement), n, p, and x. Look at problem 4.3.24.
8. Know the properties of the binomial distribution. Multiple choice.
9. Be able to identify a binomial experiment. Look at problems 4.3.1 - 4.3.2. Multiple choice.
10. Know the properties of probabilities. Multiple choice.
11. Work a Punnet square problem. The table is set up and the terminology is explained for those who are unfamiliar with the concept. Then answer probability questions based off of the Punnet square.
12. Find the mean, variance, and standard deviation of a probability distribution. Look at problems 4.2.1 - 4.2.12.
13. Find a binomial probability. Look at problem 4.3.11.
14. Find the mean and standard deviation of a binomial experiment. Then determine if a particular outcome is unusual. Look at problems 4.4.13 - 4.4.20*.

### Notes:

• * Problem is directly from text.
• Problems 1 - 10 must be worked individually.
• Problems 11 - 14 may be worked in a group of up to three people.