Before we begin!
I would like to give a special thank you to:
-
Gordon Fenton, Professor of Engineering Mathematics at Dalhousie University
-
Jeremy Balka, Professor of Mathematics and Statistics at the University of Guelph
-
Zedstatistics, Mathematical Education on YouTube
For their contributions in Mathematical education, and provision of knowledge for this wiki tree. The following notes are my second year class notes for Applied Probability and Statistics, and I hope you may find them helpful!
These notes will be following the units as laid out in Applied Probability and Statistics, ENGM2032 by G.A Fenton.
An accompanying YouTubeseries created by G.A Fenton can also be referenced, and used as supplemental information.
- Probability Theory
- Combinations and Permutations
- Bayes Theorem, Conditional Probability, and More Examples
- Independence vs. Disjunction
- Total Probability Theorem, and Event Trees
- Random Variables, and the CDF
- Random Variables Continued
- Common Distributions and Bernoulli Trials
- Distributions Continued
- Continuous Distributions
- Continuous Distributions Continued
- Normal and Lognormal Distributions
- Sampling Distributions
- Distribution of a Sample Variance
- Confidence Intervals on a Difference in Mean
- Confidence Intervals on Proportions
- Hypothesis Tests