Statistical Methods

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Table of Contents

Discrete probability distributions

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Discrete probability distributions

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

x	P(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.