Probability Distributions on MathsNZ
Overview notes (from Nayland College site)
Probability Distribution explorer - online calculator for all 5 distributions
Maths is fun - great explanation of standard deviation and variance
Discrete = counts, whole numbers of ...
Both Binomial and Poisson distributions have a discrete random variable.
Binomial - number of occurrences when there are two possible outcomes (success/failure) and a fixed number of trials. eg. number of students late to school out of a class of 25 students.
Poisson - number of occurrences per continuous interval, so there is no upper limit or fixed number of trials. eg. number of cars arriving at a petrol station per minute.
Discrete Random Variables = further video explanation - Statistics Learning Centre
Explore the fit of the distributions to real data: https://learning.statistics-is-awesome.org/modelling-tool/
Binomial Distribution powerpoint notes
Nice demo of a binomial situation in a game! https://www.mathsisfun.com/data/quincunx.html
Understanding the Binomial Distribution -
Stats Learning Centre
Poisson Distribution - powerpoint notes:
Understanding the Poisson distribution - Statistics Learning Centre
Uniform Distribution -powerpoint slides,
practice questions
Triangular Distribution - powerpoint notes
These (usually merit/excellence) questions involve using expectation formulas, and sometimes combine these with Normal Distribution questions, or other times are used in Binomial or Poisson distributions for estimating the mean and standard deviation of a Discrete random variable.
These are great questions (usually merit or excellence) that involve using one distribution (usually a continuous distribution (normal, triangular or uniform) but could also be Poisson) to get a probability that can then be used to find combined probabilities in a Binomial distribution.
Learn Coach learncoach.co.nz/ncea/level-3/statistics/3.14