# 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. Five 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. A binomial experiment is described. Identify what makes a success, the values of n, p, and q, and then find the mean, variance, and standard deviation.
7. Use a joint frequency distribution (contingency table) to find some probabilities. Thirteen parts. Look at the homework 6. Leave your answers as fractions.
8. Complete a joint probability distribution from the described situation. Similar to the Art Bell class problem worked in class. Then use the table to answer some probability questions.
9. Some statistics (chosen from the mean, median, range, standard deviation, variance, interquartile range, midrange, mode, quartiles, percentiles) for a dataset are given. Determine what those statistics will be after the indicated transformation is applied. Look at homework 5.
10. Find a binomial probability. The formula is given on the test, but you'll need to know how to find combinations on your calculator.
11. Given a small set of numbers, find the summary statistics. These could include the mean, median, mode, midrange, quartiles, percentiles, range, standard deviation, variance, variation, and interquartile range. Twelve parts.
12. Determine how many ways the described situation can occur.
13. Standardize two scores and determine, relative to the other people, who did better.
14. Given a mean, standard deviation, and z-score, convert the z-score back into a raw score.
15. Use the probability calculator to answer the questions. Two parts. Look at homework 11.
16. Use the probability calculator to answer the questions. Three parts. 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. When the problem asks for a percent, be sure to move the decimal point and put the % sign at the end.
• The computers will be off during the test, you do not need them.
• 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.
• Problems 15 and 16 make up a second portion of the take home exam dealing with normal distributions. You will need the online probability calculator to answer these questions. It is also due at the beginning of the test.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Take Home Total 8 13 5 10 6 7 26 12 6 3 12 4 5 3 6 9 15 150