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

**Hours**: http://huntlibrary.erau.edu/about/hours.html

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.

Activity | Percent of Grade |
---|---|

Input Grading Item | 100 |

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