Mark Daniel Ward

The Data Mine
Purdue University
101 Foundry Drive
West Lafayette, IN 47906
[email protected]
[email protected]
phone: (765)496-9563
VRS: (765)248-6858

STAT/MA 41600 Probability Archive from the STAT-LLC (2014-2018)

2014 Midterm Exam 1 and Midterm Exam 1 answers
2014 Midterm Exam 2 and Midterm Exam 2 answers

2015 Midterm Exam 1 and Midterm Exam 1 answers
2015 Midterm Exam 2 and Midterm Exam 2 answers

2016 Midterm Exam 1 and Midterm Exam 1 answers
2016 Midterm Exam 2 and Midterm Exam 2 answers

2017 Midterm Exam 1 and Midterm Exam 1 answers
2017 Midterm Exam 2 and Midterm Exam 2 answers

2018 Midterm Exam 1 and Midterm Exam 1 answers
2018 Midterm Exam 2 and Midterm Exam 2 answers

Outcomes, Events, and Sample Spaces

Probability

Independent Events

Conditional Probability

Bayes' Theorem

Random Variables; Discrete Versus Continuous

Probability Mass Functions and CDFs

Joint Distributions; Independence and Conditioning

Expected Values of Discrete Random Variables

Expected Values of Sums of Random Variables

Expected Values of Functions of Random Variables; Variance

Bernoulli Random Variables; Binomial Random Variables

Geometric Random Variables

Negative Binomial Random Variables

Poisson Random Variables

Hypergeometric Random Variables

Discrete Uniform Random Variables; and Counting

Continuous Random Variables

Jointly Distributed Continuous Random Variables

Independent Continuous Random Variables

Conditional Distributions for Continuous Random Variables

Expected Values of Continuous Random Variables

Expected Values of Functions of Random Variables; Variance

Continuous Uniform Random Variables

Exponential Random Variables

Gamma Random Variables

Beta Random Variables

Normal Random Variables

Sums of Independent Normal Random Variables

Central Limit Theorem

Variance of Sums; Covariance; Correlation

Conditional Expectation

Markov and Chebyshev Inequalities

Order Statistics

Moment Generating Functions

Transformations of One or Two Random Variables

This material is based upon work supported by the National Science Foundation under Grant Numbers 0939370, 1140489, 1246818. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.