Statistical Methods

Table of Contents

Discrete probability distributions

experiment: possible outcomes, probability of outcome random variable: possible values, probability of value Tables, e.g. for dice:

xP(X = x)
1$\frac{1}{6}$
2$\frac{1}{6}$
3$\frac{1}{6}$
4$\frac{1}{6}$
5$\frac{1}{6}$
6$\frac{1}{6}$

E(X): sum of (x times its probability)

$Var(X) = \sum_{i}^{k} \lbrack x_{i}^{2} P(X = x_{i}) \rbrack - \mu^{2}$

in english: to get variance, sum the (square of each value times its probability) and subtract the square of the mean.