# 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. Tell whether or not the probability assignments are plausible. Five parts.
4. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Ten parts.
5. 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.
6. Use a joint frequency distribution (contingency table) to find some probabilities. Eight 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. 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.
12. 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. Draw a picture to illustrate the situation.
13. Given the number of values, mean, and variation; find the variance, standard deviation, sum of the values, and the sum of the squares of the values.
14. The mean, median, range, standard deviation, and variance for a dataset are given. Determine what those statistics will be after the indicated transformation is applied. Three translations. Look at homework 5.
15. Complete the data set so that it satisfies the given characteristics. You'll need to know the definitions of mean, median, and mode to do this. For example, if the mean is 20 and the first three numbers are 10, 12, and 45, what is the fourth number?
16. Given a small set of numbers, find some percentiles. Two parts.

## 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. You may work together on the take home portion of the exam.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Take Home Total 8 8 10 10 6 16 10 6 3 8 21 10 4 15 3 4 12 150