| Skill
| Type
| Description
| Source
|
| Binomial Distribution |
Booklet |
Recognise and use the formula for binomial probabilities. State the assumptions on which the binomial model is based |
HELM |
| Discrete Probability Distributions |
Booklet |
Explain what is meant by the term discrete random variable. Explain what is meant by the term discrete probability distribution. Use some of the discrete probability distributions which are important to engineers |
HELM |
| Hypergeometric Distribution |
Booklet |
Apply the hypergeometric distribution to simple examples |
HELM |
| Poisson Distribution |
Booklet |
Recognise and use the formula for probabilities calculated from the Poisson model. Use the recurrence relation to generate a succession of probabilities. Use the Poisson model to obtain approximate values for binomial probabilities |
HELM |
| Introduction to random variables |
Video - 12:04 mins |
Introduction to random variables and probability distribution functions of the discrete random variables. |
Khan Academy |
| Expected Value: E(X) |
Video - 14:53 mins |
Introduction to the idea of the expectation of a random variables using the discrete distribution example. |
Khan Academy |
| Mean and Variance of Bernoulli Distribution Example |
Video - 8:20 mins |
Introduction to the Bernoulli Distribution, and how to calculate the mean and variance of this distribution. |
Khan Academy |
| Bernoulli Distribution Mean and Variance Formulas |
Video - 6:58 mins |
This video derives the mean and variance formulas of the Bernoulli distribution using examples. |
Khan Academy |
| Binomial Distribution 1 |
Video - 12:15 mins |
Introduction to the binomial distribution from the Bernoulli distributions, using the fair coin examples. |
Khan Academy |
| Binomial Distribution 2 |
Video - 11:05 mins |
Introduction to the binomial probability distribution. |
Khan Academy |
| Binomial Distribution 3 |
Video - 13:26 mins |
Introduction to the binomial probability distribution using the basketball example with unequal probabilities. |
Khan Academy |
| Binomial Distribution 4 |
Video - 10:46 mins |
Demonstrate the calculations of the basketball example using Excel. |
Khan Academy |
| Generalizing with Binomial Coefficients (bit advanced) |
Video - 11:40 mins |
This video shows how to figure out the general form of the Binomial coefficients. |
Khan Academy |
| Poisson Process 1 |
Video - 11:00 mins |
Introduction to Poisson Processes and the Poisson Distribution. |
Khan Academy |
| Poisson Process 2 |
Video - 12:41 mins |
Introduction to the derivation of the Poisson Distribution. |
Khan Academy |
