3.14 Probability distributions
3.14 Probability distributions
Welcome to the 2021 edition of 3.14 Probability distributions at Takapuna Grammar School. Below you have a selection of videos covering the skills and concepts needed in this standard. To the left (or below on a small screen) you have the course drive with resources such as theory notes and administrative information.
Overview of new skills and concepts at Level 3
The mean and standard deviation for one or more discrete variables
How to use your GC to calculate the mean and standard deviation from table.
How to calculate the mean and standard deviation of linear combinations of random variables.
The Normal distribution
Introduction to the normal distributions (from level 2)
How to find a probability (from level 2)
Strange answer? It's scientific notation
Inverse Normal distribution: Find x if you know P(x).
How to find x values (inverse normal)
Inverse normal example 2
How to find the mean and/or SD using the standard normal distribution.
Example on how to find the standard deviation using the standard normal distribution (level 2).
Example of how to find the mean using the standard normal distribution (level 2).
Finding both the mean and sd from two probabilities (advanced skill at level 3).
The Poisson distribution
Introduction to the Poisson distribution
Example of how to use the Poisson distribution
Past exam questions: Poisson distribution
Inverse Poisson distribution: finding lambda
The binomial distribution.
LearnCoach's introduction to the Binomial distribution
Dr Nic's introduction to the Binomial distribution
Examples: How to use the binomial distribution.
Inverse Binomial - find p given N and P(0). Ex 2.
Inverse Binomial - find p given N and P(0). Ex 1.
The triangular distribution
Example1: Find probability with triangular distribution (first 4 minutes)
Example 1: Find probability with triangular distribution.
Find the mode of the triangular distribution
Find the x value of a triangular distribution