MATH 37500-PR, Elements of Probability Theory


Instructor and Course Information:

Instructor: Sergiy Merenkov
Email: smerenkov@ccny.cuny.edu
Office: NAC 6/280

Time: TuTh 2:00PM-3:40PM
Room: NAC 5/108

Office Hours: by appointment

Textbook: A First Course in Probability, Author: Ross, Sheldon, Publisher: Pearson Books, Edition: 10, Year Published: 2018

Course Description and Syllabus

Midterm 1: Th 03/07, in class, 25%
Covers: Basic Counting Techniques, Sample Spaces, Probability Function, Spaces with Equally Likely Outcomes, Conditional Probability, Bayes' Formula.

Midterm 2: Th 04/11, in class, 25%
Covers: Independent Events, Conditional Independence and Total Probability Formula; Discrete and Continuous Random Variables: Discrete Uniform, Geometric, Bernoulli, Binomial, Poisson, Continuous Uniform, Triangular, Normal; Expected Value, Variance, Standard Deviation.

Final Exam: Th 05/16, 1:00PM-03:15PM, in classroom, 40%
Spring 2019 Final Exam Schedule
Covers: Everything covered by Midterms 1 and 2 and, in addition, Exponential Distribution, Joint and Marginal Distributions, Independent Random Variables, Conditional Distributions, Functions of Random Variables, Covariance, Transformations of Several Random Variables, Chebyshev's Inequality, Law of Large Numbers, Central Limit Theorem.

Homework: 10%

Assignments:

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