## Math 113: Study Guide - Chapters 3-4

1. Circle all values that can / can not be probabilities.
2. Know the probability of an event certain to happen and the probability of an event which can't happen.
3. Find the probability of an event when one outcome is more likely than the rest. Similar to the dice problem from the left board where the six is twice as likely as every other number.
4. For a family of either 2, 3, or 4 children (only one will be given on the test). List all the possible outcomes of children. Then find the probabilities of specific outcomes.
5. Identify each pair of events as mutually exclusive or not.
6. Given the frequencies with which certain events occur, find the probability of a randomly selected individual belonging to one or more of the groups.
7. Identify the two events as independent or dependent.
8. Given the number and type of candies in a bag, find the probability of selecting a specific color on the first try; on the second try with replacement; on the second try without replacement.
9. Given a joint frequency distribution (see table 3-1), find a joint probability and two conditional probabilities.
10. Identify whether each experiment is binomial or not. If not, explain why.
11. Work a binomial story problem (look at pg 209). Use the binomial program on the calculator to find the answer.
12. Work a binomial problem involving passing a test by getting so many questions right. Use the binomial program on the calculator to find the answer.
13. Find the mean, variance, and standard deviation of a binomial distribution.
14. Given a probability distribution, find the mean, variance, and standard deviation (use the pdist program on the calculator).
15. Simulate an experiment using the calculator. Make sure you know how to generate random numbers with the calculator.

### Notes:

• A couple of the problems are straight from the textbook.
• Problems 14 and 15 may be worked in groups of up to three people.
• The first part must be turned in before getting into groups.