# Final I: Study Guide

1. Find a factorial, permutation, and combination. 3 parts.
2. Use empirical probabilities to find the sample size.
3. Given a sample space S with each event equally likely, find probabilities of certain events happening. 5 parts.
4. Find out how much money will be in a retirement fund upon retirement.
5. List the requirements for a standard maximization and standard minimization problem. 2 parts.
6. Solve a system of linear equations using Gauss-Jordan elimination. You may use the calculator, but you must copy each matrix if you do.
7. Add two matrices.
8. Multiply two matrices.
9. Find the inverse of a matrix.
10. Find the determinant of a matrix.
11. Find the payment on a retirement account.
12. Complete the payoff table for a game so each event is equally likely. Create a probability distribution and find the expected value of the game. Identify the game as fair or not. 4 parts.
13. Solve a matrix equation for a variable.
14. Read the answers to the dual (maximization) and primal (minimization) problem. Be cautious of cleared columns which don't have a 1 for the non-cleared element. 2 parts.
15. Find a joint probability distribution. Find some probabilities based on the table. 6 parts.
16. Game problem.. Use the calculator.
17. Leontief Input-Output model. Use the calculator.

This exam will be worked individually.

Last updated: Sunday, July 28, 1996 at 6:41 PM
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