STA341 SYLLABUS  Fall 2019
Week(s) 
Topics 
Readings 
1 
Basic Concepts, Brief review of algebra of sets.



2  3 
Probability: properties, methods of enumeration,
conditional probability, independent events, Bayes Theorem. 


4  6 
Discrete Distributions: Random variables, mathematical expectation,
mean, variance, standard deviation, Bernoulli trials and binomials distribution,
momentgenerating function, and Poisson distribution, among others.



6  9 
Continuous Distributions: Random variables; and
uniform, exponential, gamma, chisquare distributions, and normal distributions, among others.
distributions of functions of a random variable.



9  10 
Bivariate Distributions: distributions of two variables,
correlation coefficient, and conditional distributions.



11  14 
Distributions of two random variables:
functions of one random variable,
several independent random variables;
the momentgenerating function technique
random functions associated with normal distributions;
and Central Limit Theorem, approximations for discrete distributions, as time permits.


5.1, 5.35.5, and 5.65.7, as time permits. 

Notes:
 Unless otherwise noted, readings are from the textbook.
"Probability and Statistical Inference" 10th Ed. by Robert V. Hogg, Elliot A. Tanis, and Dale Zimmermann. Pub. Pearson.
 For the schedule of Examinations please click on the Exams Button.
Last modified: 9/5/2019
