# Exam 2 Study Guide: Probability

1. Find the probabilities of some simple events. Four parts. Look at homework 7.
2. Find the probabilities of some compound events using the multiplication rules. Four parts. Look at homework 7.
3. Create a probability distribution from a description. 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." or "A bag contains three colors of chips: red, white, and blue. There are twice as many red chips as white chips and three times as many blue chips as red chips."
4. Tell whether or not the probability assignments are plausible. Five parts.
5. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Ten parts.
6. Use a joint frequency distribution (contingency table) to find some probabilities. Seven parts. Look at the homework 6. Leave your answers as fractions.
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.
8. Find the mean and standard deviation of a binomial experiment. Use them to label a bell-shaped curve. This is sort of like question 1 on homework 9.
9. 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.
10. Find the expected value and standard deviation for a probability distribution. The probability distribution is given, but you need to know the formulas for finding the mean and standard deviation. This is like question 2 on homework 8.
11. The values of ∑x2p(x) and ∑xp(x) are given for a probability distribution. Use them to find the mean, variance, and standard deviation of the probability distribution.
12. You are given a table with columns for the z-score, area to the left of the z-score, area to the right of the z-score, and twice the smaller area. You will be given one piece of information (anything but twice the smaller area) and asked to find the other values. Seven parts. Look at homework 10.
13. The mean and standard deviation for a non-standard normal distribution is given. Find the probability of one randomly selected individual having a certain value. Find the raw score that goes along with a certain probability. Look at homework 11.

## Notes

• You will need a calculator.
• Do not give probabilities as percents unless the problem specifically asks for it that way.
• The computers will be off during the test, you do not need them.
• The standard normal table will be supplied with the test.
• There is a take home portion of the exam dealing with simulation. It is due at the beginning of the test.

## Points per problem

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