# Exam 3 Study Guide: Chapters 14-17

1. Tell whether or not the probability assignments are plausible. Five parts. Look at problems 14.9-10.
2. Create a probability distribution from a description and then answer questions based on it. The description will be something like "A six sided die is rolled. The odd numbers are twice as likely to occur as the even numbers." Look at problems 14.11-14.
3. Given a probability distribution, find the probabilities of some compound events. Look at problems 14.11-14.
4. Find the probabilities of some compound events. Look at problems 14.17-22
5. Use the probability rules to find some probabilities. Look at problems 15.3-6
6. Use a joint probability distribution in table form to find some probabilities. Look at problems 15.9-10, 23-24.
7. Create a tree diagram that illustrates the described situation. Use the tree diagram to complete a table of joint probabilities. Then use the table to answer some probability questions. Look at problems 15.34-36.
8. The rules of a game are described. Use the rules to write a probability distribution. An example might be something like this: A die is rolled and a coin is flipped. If the coin is a head, you win \$10. Otherwise, look at the die. If an odd number is rolled, you win \$5. If a 2 is rolled, you win \$20, otherwise you lose \$15. The probabilities for the game would be as follows. P(\$10) = 1/2, P(\$5) = 1/4. P(\$20) = 1/12, P(-\$15) = 1/6. See the similar problems link in the notes section for more information.
9. Find the expected value and standard deviation for a situation. The probability distribution is given, but you need to know the formulas for finding the mean and standard deviation. Look at problems 16.3-8, 11-14.
10. Find the mean and standard deviation of a binomial experiment. Look at problems 17.10-14.
11. Given the means and standard deviations for two independent variables, find the mean and standard deviations for new variables formed from the old variables. Four parts. Look at problems 16.23-26.
12. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Five parts. Look at problems 17.1-2.
13. Some binomial probabilities from Minitab are given. Use them to answer the questions and then find the mean and standard deviation of the binomial distribution. Look at problems 17.9-18.

## Notes

• Most of the problems are similar to problems in the textbook. Many of the problems are very similar to problems from the textbook.
• You will not need the computer during this test, it should be turned off.
• You will definitely want a calculator.
• When probabilities are asked for, they should be given as decimals.
• In addition to the problems in the book that you should look at, I've created some similar problems with solutions for you to try. There are problems like 7, 8, 9, and 13 on this sheet.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 Total 10 10 8 6 6 8 8 4 4 6 8 10 12 100