# 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. Four parts. Look at problems 4.3.21-24.
5. Find the mean and standard deviation of a binomial experiment. Use them to label a bell-shaped curve.
6. Find the probabilities of some simple events. Five parts. Look at activity 4.
7. Find the probabilities of some compound events using the multiplication rules. Four parts. Look at activity 4.
8. Use a joint probability distribution in table form to find some probabilities. Eight parts.
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. Eight parts. Look at problems 4.3.1-8.
15. Simulation problem. Data that can be used to perform a simulation is provided (you don't need to go into Minitab to do the simulation yourself). Use the data to answer the questions about the probability of an event happening.
16. Simulation problem. Data that can be used to perform a simulation is provided (you don't need to go into Minitab to do the simulation yourself). Use the data to find the average.

## 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. Do not give probabilities as percents unless the problem specifically asks for it that way.
• 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 is another practice handout [PDF only]. The solutions are available but please don't look at them until you try the problems.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total 6 3 4 4 6 5 8 16 10 6 6 3 6 8 6 3 100