# Chapter 7: Study Guide

1. Find two factorials, two permutations, and two combinations.
2. Use the multiplication rule involving combinations.
3. Find the number of ways a specific set of officers can be elected.
4. Find the total frequency given the probability and observed frequency.
5. Know the properties of a probability distribution, in specific the two rules.
6. Flip a specified number of coins. The observed frequency is given. Complete a table giving the empirical probability, theoretical probability, and expected frequency.
7. Given a sample space S, find four probabilities of simple and compound events.

8. Find the probabilities of six poker hands.
9. Give the formulas we have had in this chapter. Three parts. Look at: n!, P(n,r), C(n,r), probability.
10. Play a game. Create the sample space. Write a probability distribution based on the sample space. Find the expected value. Identify the game as fair or not. Decide whether the person should play or not.
11. Work a decision theory problem. Complete the payoff table. Find the opportunistic loss (regret) table. Find the expected value under each action and the best action under each principle (expected value, maximin, maximax, minimax).
The first page, problems 1 - 7, must be worked individually. The remaining pages may be worked in groups of up to size three. You must turn in the first page, and then you may receive the remainder of the test.

Last updated: Tuesday, July 11, 1995 at 6:41 am