WAYLAND BAPTIST UNIVERSITY
_________ CAMPUS
SCHOOL OF MATHEMATICS & SCIENCES
Wayland Mission Statement: Wayland Baptist University exists to educate students in an
academically challenging, learning-focused and distinctively Christian environment for
professional success and service to God and humankind.
Course Title and Number: MATH 3309-Section; Probability
Term:
Name of Instructor:
Office Phone Number and WBU Email Address:
Office Hours, Building, and Location:
Class Meeting Time and Location:
Catalog Description: Basic concepts of probability, conditional probability, independence,
random variables, discrete and continuous probability distributions, moments, special
distributions, and central limit theorem.
Corequisite: MATH 3307 (Mathematical Reasoning and Proof)
Required Textbook: *Choose from approved textbook list
Supplies: All students need to have a scientific calculator.
Course Outline/Outcome Competencies: Be able to discuss and solve problems in the
following areas:
Set Theory
Experiment, Sample Space, Event
Union, Intersection, Complement
Mutually Exclusive
Probability
Kolmogorov’s Axioms
Interpretations: Classical, Empirical, Subjective
Rules for Complements, Null Set, Unions
Equally Likely Outcomes
Counting
Product Rule
Ordered and Unordered, With and Without Replacement
Permutations, Combinations
Conditional Probability
Definition
Partition, Law of Total Probability, Bayes Theorem
Independent Events
Univariate Random Variables
Discrete Random Variables
Probability Mass Function, Cumulative Distribution Function
Expectation, Mean, Variance, Standard Deviation, Linear Operator
Binomial Experiment, Binomial Distribution
Hypergeometric, Negative Binomial, Geometric Distributions
Sampling Explanations
Poisson Distribution, Poisson Process, Scalability of Rate
Poisson Approximation to Binomial
Continuous Random Variables
Probability Density Function, Cumulative Distribution Function, Percentiles
Kernel
Expectation, Mean, Variance, Standard Deviation, Linear Operator
Moment Generating Functions
Normal Distribution, Standard Normal, Empirical Rule
Interpolation of Normal Percentiles
Normal Approximation to Binomial
Gamma Distribution, Gamma Function, Standard Gamma
Exponential Distribution, Memoryless Property
Modeling Time in a Poisson Process
Weibull, Lognormal, and Beta Distributions
Bivariate Random Variables
Joint and Marginal Distributions
Independent Random Variables
Conditional Distributions
Expectation, Covariance, Correlation
Variance of a Linear Combination
Random Samples
Sampling Distribution of a Sample Mean
Central Limit Theorem
Linear Combinations of Normal Random Variables
Attendance Requirements: All students are expected to attend all class sessions and are
responsible for knowing the material covered. No quizzes or exams can be made up unless
arrangements prior to the absence have been made. Any student missing more than 25%
of the class will fail the class.
Statement on Plagiarism and Academic Dishonesty: Wayland Baptist University
observes a zero tolerance policy regarding academic dishonesty. Per university policy as
described in the academic catalog, all cases of academic dishonesty will be reported and
second offenses will result in suspension from the university.
Disability Statement: In compliance with the Americans with Disabilities Act of 1990
(ADA), it is the policy of Wayland Baptist University that no otherwise qualified person with
a disability be excluded from participation in, be denied the benefits of, or be subject to
discrimination under any educational program or activity in the university. The Coordinator
of Counseling Services serves as the coordinator of students with a disability and should be
contacted concerning accommodation requests at (806) 291-3765. Documentation of a
disability must accompany any request for accommodations.
Course Requirements and Grading Criteria: – suggested
Homework: Homework will be assigned at the end of each section in the text and
will generally be due at the start of class one week from the date of assignment. You
are allowed to assist each other on homework but a student must not turn in
someone else’s work as their own. Late homework will not be accepted.
Exams: During the semester there will be 3 exams. The class period prior to each
exam will include a review. The final exam is comprehensive and all students will be
required to take the Final Exam.
Grading:
%
%
%
Exams
Homework
Comprehensive Final
A: 90 – 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: Below 60
Students shall have protection through orderly procedures against prejudices or
capricious academic evaluation. A student who believes that he or she has not been
held to realistic academic standards, just evaluation procedures, or appropriate
grading, may appeal the final grade given in the course by using the student grade
appeal process described in the Academic Catalog. Appeals may not be made for
advanced placement examinations or course bypass examinations. Appeals are
limited to the final course grade, which may be upheld, raised, or lowered at any
stage of the appeal process. Any recommendation to lower a course grade must be
submitted through the Executive Vice President/Provost to the Faculty Assembly
Grade Appeals Committee for review and approval. The Faculty Assembly Grade
Appeals Committee may instruct that the course grade be upheld, raised, or lowered
to a more proper evaluation.
Tentative Schedule:
Academic Honesty: Disciplinary action for academic misconduct is the responsibility of the
faculty member assigned to this course. The faculty member is charged with assessing the
gravity of any case of academic dishonesty, and with giving sanctions to any student
involved.
Important Dates:
Last
Last
Last
Last
day to drop without record
day to withdraw with “W”
day to withdraw with a “WP/WF”
Class
This syllabus is only a plan. The teacher may modify the plan during the course. The
requirements and grading criteria may be changed during the course if necessary.
Revised 03/18/15