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. Poker problems. 5 parts.
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. Short answer - when can you multiply two matrices.
12. Short answer - when can you add two matrices.
13. List two of the three elementary row operations.
14. List three of the four requirements of reduced row-echelon form.
15. Short answer - when can the inverse of a matrix be found (2 requirements).
16. Find the payment on a retirement account.
17. 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.
18. 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.
19. Find a joint probability distribution. Find some probabilities based on the table. Identify the events A and B as mutually exclusive, all inclusive, and/or independent. 9 parts.
20. Find out how much money will be in a retirement fund upon retirement.

This exam will be worked individually.

Last updated: Thursday, July 27, 1995 at 1:59 am
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