Cambridge Maths Academy

Further statistics 1 Table of contents Probability density functions Moment generating functions Moments Edexcel FS1 Ch Exercise 1. Probability density functions The probability dentity function for a normal distribution, $ X \sim \textrm N \left( \mu, \sigma^2 \right) $, is $$ \begin{align} \textrm f(x) = \frac{1}{ \sqrt{2\pi} \sigma} \textrm e^{ - \frac12 \left( \frac{ x - \mu }{ \sigma } \rig..

Further statistics 1 Table of contents Probability mass function Probability generating function Moment generating function Moments Using moment generating function Central moments Standardised moments Edexcel FS1 Ch Exercise (under construction) 1. Probability mass function The probability mass function for a geometric distribution, $ X \sim \textrm{Geo}(p)$, is $$ \begin{align} \mathbb P(x) = ..