AS91586 Probability Distributions

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In this standard you will be using a range of probability distributions to model situations. These models will build on the one you used at Level 2 in the Probability Methods external.

The list of distributions includes:-

• Normal distribution

• Uniform distribution

• Triangular distribution

• Binomial distribution

• Poisson distribution

• Expectation

• Modelling real situations using one of the distributions above.  

NZQA Information

1. Standard

2. Formulae Sheet (Te Reo version)

3. Specification

4. Past Papers and Exemplars (on sub page)

Useful files on Probability Distribution 

Checklist for distributions

Overview of all distributions

How to calculate probabilities using the tables

Understanding the written regions

Old NCEA Questions (Only Normal, Poisson and Binomial Questions)  Answers

Uniform distribution questions   Answers

Triangular distribution questions   Answers

Finding the mean and standard deviation of normal distributions Answers. 

Picking a distribution FlowDiagram

YouTube videos

Expectation

Combining expectations

Binomial Distribution Introduction

Binomial Distribution

Inverse Binomial

Poisson Distribution Introduction

Poisson Distribution 

Inverse Poisson

Normal Distribution finding a probability

Normal Distribution finding an expected value

Inverse Normal Distribution

Using an Inverse normal to find the mean

Using an Inverse normal to find the Standard deviation

Using Inverse normal to find both the mean and standard deviation

Continuity Correction

Uniform (rectangular) Distribution

Triangular Distribution to find a probability

Inverse Triangular Distribution to find the mode

Inverse Triangular Distribution to find a x value