MDM4U Discrete Probability Distributions

Here’s what’ll be happening over the next few days:

Discrete Probability Distributions – note

Uniform Probability Distribution – note

Page 374 #1-8, 10, 11

Binomial Distribution – note

Page 385 #1-3, 5, 10

Hypergeometric Distribution – note

Hypergeometric Probability Distribution Examples

Page 404 #1-4, 8, 10-12

Video help:

MDM4U More Binomial Distribution; beginning simulations 2016-04-18

We practised using binomial distributions using some textbook questions today (Page 386 #7, 8ab).

For homework you have Page 386 #10, and Page 406 #7-10.

We then spent about 30 minutes learning the basics of creating a dice simulation using a spreadsheet. Most people used Google Sheets. To generate a random die roll we used the formula

=randbetween(1,6)

We learned to sum cell values and fill formulas (by dragging the cursor or highlighting and pressing Ctrl+D).

Tomorrow we’ll continue with this work and develop some more complex simulations.

(Edit: Apparently I didn’t click the “Publish” button on this post, so it’s appearing just before noon on the 19th instead of 6pm on the 18th. Sorry folks!)

MDM4U Practising Expected Value – 2015-11-16

We worked some more on Expected Value, taking special notice of random variables with the Uniform Probability Distribution.

The Expected Value of a random variable X is

$latex E(X)=\sum_{i=1}^{n}{P(x_i)\cdot x_i} $

If X has a uniform distribution, P(x_i) = \frac{1}{n} for every outcome x_i , so we can simplify the expected value:

$latex E(X)=\frac{1}{n}\sum_{i=1}^{n}{x_i} $

Need some practice? Try questions starting on page 375.

We started to talk really briefly about the Binomial Distribution – that’s the plan for tomorrow.