## MATH 412 : Probability and Statistics

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### Last edit: Wed, 20 Jan 2016 14:18:10 GMT

MATH 412-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
412
Probability and Statistics
3
Finite sample spaces; conditional probability and Bayes' Theorem; discrete and continuous random variables and their functions; expected value, variance and standard deviation; systematic study of the major discrete and continuous distributions; moment generating functions; hypothesis testing and estimation.

The students will study the fundamentals of probability and statistical modeling. They will learn mathematics involved in the test statistics for various problems. Emphasis is placed on problems of interest to engineers and scientists.

1. Construct and use sample spaces, learn simple counting methods and elementary set theory.

2. Understand and use Baye’s Theorem.

3. Apply definitions of probability, conditional probability.

4. Apply concepts of discrete random variables and probability distributions.

5. Use definite integrals to compute distribution functions and probabilities.

6. Use graphical methods for presentations of data.

7. Understand joint probability distributions.

8. Understand the concept of expectation and use to calculate the mean, variance and other moments of a random variable.

9. Use Chebyshev’s inequality to estimate probabilities.

10. Solve problems using uniform, binomial, multinomial, hypergeometric, Poisson and geometric discrete probability distributions.

11. Solve problems using normal, normal approximation to the binomial, gamma, exponential, and chi- square continuous probability distributions.

12. Use moment-generating functions to derive information about distributions.

13. Estimate various parameters such as mean, proportion and variance.

14. Analyze data and perform statistical tests.

Located on the Daytona Beach Campus, the Jack R. Hunt Library is the primary library for all students of the Worldwide Campus. The Chief Academic Officer strongly recommends that every faculty member, where appropriate, require all students in his or her classes to access the Hunt Library or a comparable college-level local library for research. The results of this research can be used for class projects such as research papers, group discussion, or individual presentations. Students should feel comfortable with using the resources of the library.

Web & Chat: http://huntlibrary.erau.edu
Email:  library@erau.edu
Text: (386) 968-8843
Library Phone:  (386) 226-7656 or (800) 678-9428

Written assignments must be formatted in accordance with the current edition of the Publication Manual of the American Psychological Association (APA) unless otherwise instructed in individual assignments.

90 - 100% A
80 - 89% B
70 - 79% C
60 - 69% D
0 - 60% F

90 - 100% A
80 - 89% B
70 - 79% C
0 - 69% F
Heather L. Garten, Ph.D. - 3/31/2015
gartenh@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Dr. James Schultz – 3/31/2015
schul9fd@erau.edu
Key: 216