AS 3.6 Distributions

1

Introduction to distributions - Guessing Cards. Reminder of normal distribution. Achievement criteria, Binomial introduction and formula. Solving binomial distribution problems using the formula.

Guess the cards | Card guessing simulation

Binomial Distribution Excel

Pascals Triangle |
Distributions | Binomial Distribution | Quincunx (maths is fun website)

AIS  p116

2

How to using binomial tables p434
Binomial adding problems eg. Probability of x being less than 8

The three bears | Binomial Distribution

Binomial Tables Excel |
Binomial tables Adobe (n = 1 to 20)

AIS  p117

3

Changing success to failure - changing π  and each 'x' value. Mixed problems and applications, including probability trees

Binomial Distribution

 AIS  p118, 119

4

Calculating the mean, variance & standard deviation of a Binomial Distribution.

Poisson introduction: Ice cream

Wikipedia binomial distribution notes (extn)

AIS  p120

5

Using the poisson formula to solve problems. Using the Poisson tables p436. Adjusting λ depending on the interval length

Poisson Distribution

Poisson Distribution

 AIS  p120

6

Adding Poisson problems. Poisson mean & standard deviation. Practising mixed problems

AIS  p121

7

Given the probability P(x = 0) and then using the formula to find λ

 AIS  p122

8

Problems involving probability trees and conditional probability (2 periods practice)

Links:

AIS  p123, p124

9

An overview of different distributions
Introduction and theory of Normal Distribution
Looking up z-values in tables

Normal Distribution Excel

Normal Distribution PowerPoint

AIS  p125

10

Using correct working: given a mean µ and Standard Deviation σ
    P(x > 3)
= P(z > ?) Calculate z
= 0.5 ± Table value
= Area under graph (solution)

Normal Distribution | normal distribution (woldo maths)

11

Applying Continuity Correction to normal distribution problems for data which has been rounded.

12

Given a probability find the value of 'x' Using the normal distribution tables in reverse

13

Given 'x' and a probability, calculate the population mean µ or standard deviation σ (MERIT)
Harder normal problems EXCELLENCE

14

15

Adding and subtracting two normally distributed variables and solving distribution problems (Add or subtract the Means) (Allways ADD the Variances)

16

Adding and subtracting multiples and combinations of numbers of normally distributed variables (MERIT)

17

Normal, Binomial and Poisson combinations ( EXCELLENCE)

AIS  p129

Revision (not done in class time)

More revision, Even more revision

Old exam papers

 AIS  p130 p132 p133, 134, 135

18