Probability and statistics
Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket? Even if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.
Content
 Independent and dependent events
 Probability and combinatorics
 Statistical studies
 Descriptive statistics
 Random variables and probability distributions
 Regression
 Inferential statistics
1.Independent and dependent events
Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.

2.Probability and combinatorics
Permutations and combinations. Using combinatorics to solve questions in probability.

3.Statistical studies 
4.Descriptive statistics
Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.

5.Random variables and probability distributions
Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.

6.Regression
Fitting a line to points. Linear regression. Rsquared.

7.Inferential statistics
Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.
