# Exam 2 Study Guide: Chapters 3-4

1. Tell whether or not the probability assignments are plausible. Look at problems 4.2.3-8.
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."
3. Find the mean and standard deviation for a binomial experiment. Look at problems 4.4.1-4.
4. A table of binomial probabilities from Minitab is given. Use them to find the probabilities asked for. Three parts. Look at problems 4.3.21-24.
5. Find the mean and standard deviation of a binomial experiment. Determine the range of usual and unusual values. Determine if a given value is unusual. Look at problems 4.4.5-16.
6. Find the probabilities of some compound events using the multiplication rules. Look at activity 4.
7. Find the probabilities of some compound events using the multiplication rules. Look at activity 4.
8. Use a joint probability distribution in table form to find some probabilities.
9. 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 activity 4.
10. 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 4.2.3-8.
11. The totals from a table like you would see in question 10 is given. Find the mean, variance, and standard deviation of the probability distribution.
12. The mean and standard deviation for a binomial distribution are given. Use them to find the number of trials, the probability of success on a single trial, and the probability of failure on a single trial.
13. Counting problems. Determine the number of ways the described situation can happen. Use the fundamental counting principle. These problems can be used without using the permutation or combination keys on your calculator, although you may find them quicker and easier. Three parts.
14. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Six parts. Look at problems 4.3.1-8.

## Notes

• Whenever there are problems that ask for an explanation, be sure you explain. Those parts are worth more points based on the explanation.
• You will need a calculator.
• When probabilities are asked for, they should be given as decimals unless fractions are specifically asked for. Be sure to read the instructions, sometimes it tells you how many decimal places to include.
• 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 4, 9, and 11 on the test.
• Activity 4 is useful for several kinds of problems on the test.
• There was much confusion on activity 4, so there is another handout that was given on review day. The solutions will be available after both classes have had a chance to work through them.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total 6 3 4 6 8 8 8 10 12 8 6 3 6 12 100