STA 4032, Fall 2016

Class meets: SE 271, 10:00-11:20AM WF

Instructor: Dr. Lianfen Qian, email: lqian@fau.edu

Prerequisites: MAC 2312 or Calculus for Engineers II-MAC 2254

Office Hours: 12:00Noon-1:00PM, WF, SE 2444 or by appointment

Course Description:

Basic concepts of probability; random variables; discrete and continuous probability

distributions; functions of random variables; estimation theory; tests of hypotheses.

Goals:

Student should be familiar with various statistical distributions, understand central

tendency and variability. Be able to perform parameter estimation and hypothesis testing.

Have knowledge of statistics and be ready for subsequent classes such as experimental

design and design for manufacturing.

Textbook: Applied Statistics and Probability for Engineers, 6th

Ed. by Douglas C. Montgomery

and George C. Runger. 2014. ISBN: 978-1-118-53971-2.

Grading system:

Two Midterm Exams 20% each for 40%

Three Quizzes 30%

Final Exam 30%

There will be no make-up quizzes and midterm exams. If a student has an acceptable

excuse for missing a midterm exam or quiz, the weight of this exam or quiz will be shifted

to the final. Make-up final exam will be given only under exceptional circumstance, and

written, verifiable excuses must be provided.

Grading Scale:

0-55%: F, 56-62%: D, 63-65%: C-, 66-72%: C, 73-76%: C+, 77-79%: B-, 80-85%: B, 86-

87%: B+, 88-89%: A-, 90-100%: A.

Homework Assignments:

Homework problems will be assigned for each section. You must do all assigned problems

in order to do well on quizzes and exams. However, homework assignments are not

handed-in or graded. Quizzes and exams are based on homework problems and examples

presented in class.

Attendance:

The instructor reserves the right to make any changes she considers academically

advisable. Note that it is your responsibility to attend the class and keep track of the

proceedings.

Honor Code:

Students at Florida Atlantic University are expected to maintain the highest ethical standards.

Academic dishonesty, including cheating and plagiarism, is considered a serious breach of these ethical

standards, because it interferes with the University mission to provide a high quality education in which

no student enjoys an unfair advantage over any other. Academic dishonesty is also destructive of the

University community, which is grounded in a system of mutual trust and places high values on personal

integrity and individual responsibility. Harsh penalties are associated with academic dishonesty. For more

information, see https://www.fau.edu/ctl/4.001_Code_of_Academic_Integrity.pdf

Probability and Statistics for Engineers

Students with Disabilities:

In compliance with the Americans with Disabilities Act (ADA), students who require special

accommodations due to a disability to properly execute coursework must register with the Office for

Students with Disabilities (OSD) located in Boca Raton-SU 133 (561-297-3880), in Davie-MOD I (954-

236-1222), in Jupiter- SR 117 (561-799-8585), or at the Treasure Coast- CO 128 (772-873-3305), and

follow all OSD procedures.

Tentative Schedule

Wk Ch Topics

1 1, 2 Introduction to statistics and probability, probability models

2 2, 3 Bayes' theorem, random variables, independence, discrete random variables,

cumulative distributions, expected value, binomial, geometric,

negative binomial distributions

3 3, 4 Quiz 1: Chapters 1 and 2 Discrete random variables: hypergeometric distribution, Poisson distribution;

continuous random variables: probability density functions,

cumulative distribution, expected value

4 4 Continuous random variables: Normal, normal approximation to binomial

and Poisson, exponential, Weibull

5 5 Joint, marginal, conditional probability distributions

Midterm 1: Ch 1-4

6 5, 6 Covariance and correlation, bivariate normal, linear combinations of random

variables, data description, graphical display

7 7 Random sampling, estimators, maximum likelihood, least squares,

moments, sampling distributions

8 8 Quiz 2: Ch 5, 6 Confidence intervals, t distribution

9 9 Hypothesis testing; single sample tests: mean, variance, proportion;

chi-square distribution

10 9 Goodness-of-fit, contingency tables

Midterm 2 Ch 5-9.6

11 10 Two-sample tests of means, proportions, F-distribution

Two-sample test of variance

12 11 Simple linear regression, point estimation

13 11,

12

Quiz 3: Ch 9.7-10.3 Confidence intervals and tests for simple linear regression

14 Error analysis

(Lecture notes)

15 13 Single-factor ANOVA

16 Dec. Final Exam: 9.7-13 and error analysis