# Exam 2 - Study Guide

## Chapters 3 & 4

1. If an event is a certain number of times more likely to happen than another, what is the probability of either one happening? As an example, if a 6 is 3 times as likely to appear as any other value on the single roll of a die, then the probability of a six appearing is 1/2 and the probability of any other side appearing is 1/8
2. Determine a probability given a description of the situation. Look at problems 3 - 17 in section 3.2.*
3. Determine which values can or cannot be probabilities. Look at problem 1 in section 3.2
4. Determine an expected value. Look at problems 13 - 17 in section 4.2. **
5. Determine probabilities from a table. The data is from the US 1990 census for Illinois. Three questions. Look at problems 17 - 20 in section 3.2
6. Determine the mean and standard deviation for a problem with a binomial distribution. Look at problems 5 - 12 in section 4.4. **
7. Set up a binomial problem. Do not solve, only supply the five parts. Those parts are the definition of success, the probability of success, the probability of failure, the number of trials, and the number of successes. Look at problems 15 - 24 in section 4.3, but only set up.
8. Multiple choice. Know the properties of the binomial distribution. Look at the definition of a binomial experiment in section 4.3 and the formulas for the mean, variance, and standard deviation in section 4.4.
9. Multiple choice. Determine which situations can be treated as a binomial experiment. Look at problems 1 - 2 in section 4.3. **
10. Multiple choice. Know the properties of probabilities. Look at problem 2 in section 3.2, the requirements for being a probability distribution in section 4.2, and the instructions for using the Binomial Table (Table A-1) in section 4.3.
11. Complete a Punnet square as used in Biology. Instructions for completing the square are given on the exam. You're then asked for probabilities of certain phenotypes and genotypes occurring. A very watered down version of this problem can be found as problem 24 in section 3.2. For more information, look up Punnet squares in a biology text, and concentrate on the two trait variety.
12. For a probability distribution, find the mean, variance, and standard deviation. Look at problems 1 - 12 in section 4.2. **
13. Find a binomial probability without using Table A-1. Look at problems 7 - 12 in section 4.3. **
14. Determine the mean, variance, and standard deviation for a problem with a binomial distribution. Then determine if a certain number of successes could be considered as unusual or not. Look at problems 13 - 20 in section 4.4. **

There is a rating system in use on this study guide.
*
Problem is extremely similar to one out of the book. Only the setup has been changed, but not the numbers.
**
Problem is exactly out of the book. Nothing has been changed.

I will allow the class to work in pairs on part of the test if the following requirements are met:
• At least half of the class must provide the answers to the questions below.
• Problems 1 - 10 must be done as individuals and turned in.
• When problems 1 - 10 are turned in, you may pick up problems 11 - 14 and work with one other person on this part.
• There is no requirement to work with someone else, you may work alone.
• Each person needs to turn in a copy of the second part regardless of whether they work with someone or alone.
Write the answer to the questions and the URL (universal resource locator)
looks like "http://people.richland.edu/james/m113-s02.html"
and should be at the top of the screen if you're using NetScape) where you found the information on a piece of paper to be handed in before the exam.
1. From the US Census press release on 2-3-95 about poverty: How many times as likely is an African American person to be poor as a white person during an average month?
2. From the text explaining the purpose of the Spending Reduction Enforcement Act from the full text of the 104th Congress maintained on the Thomas system: Which house of Congress, the Senate or the House of Representatives wanted to require a larger annual budget outlay reduction? How much more?
3. Which two Supreme Court Justices were nominated by George Bush? Hint, C-Span maintains a Government Resource Center.
You will notice that there are no hypertext links this time. You should be able to figure out the answers by carefully reading the questions. There are some statements made which will guide you through the menus. Hint, all of these answers can be found by starting under the Government menu.