Nayland College Mathematics; More than just a school  
 
 

 

 
 
 

AS 2.6 Probability & Normal Distribution

Normal Distribution HOME | Achievement Objectives | Relative Frequency | Experimantal Probability | Theoretical Probability | Tree Diagrams | Conditional Probability | Simulations | Distributions | Normal Distribution | Inverse Normal | Revision

Achievement Standard 2.6 Probability Distributions is an important topic leading on to level 3 Statistics

Probability investigates the chance of things happening (events) and what the expected result may be.
Experimental probabilities, simulations and tree diagrams will be used.

New material for level 2 is the 'standard deviation' and Normal Distribution.

 

Normal Distribution starters

 

Word doc 07/03 Theta Homework Book (David Barton) Theta Text Book (David Barton)
Web link Geogebra java animation Powerpoint Excel Spreadsheet (allow macros)

1



Overview & Long Run Relative Frequency

Achievement Objectives Long run relative frequencies and Experimental relative frequencies

Calculating the mean & standard deviation

long run relative frequency | Simulating dice | 30 dice simulation

Achievement criteria | I Can Do's

Class notes | Blank notes

Standard Deviation Standard deviation

Experimental relative frequency

2



Theoretical Probabilities

calculating theoretical probabilities of an event P(A),  P(A U B)   p(A n B) Expected number E(x). Probabilities calculated from a table

Class notes, Blank notes

Ex 22.01

Theta pg 99, 103, 104

 

3



Tree diagrams

Calculating probabilities from tree diagrams by multiplying along branches and adding between branches. Tree diagrams with and without replacement.

Conditional probability - an introduction

Selecting without replacement diagrams

Class notes, Blank notes
Conditional probability Class notes, Blank notes

Ex 22.02

Tree Diagrams

Theta pg 100, 101

 

4



Normal Distribution - an introduction

Overview of the normal distribution curve. Calculation of the mean and standard deviators.

Interactive website java simulation

Normal Distribution

Normal Distribution | Comparing distributions

Class notes, Blank notes

Ex 24.01, 24.02

Distributions

Theta pg 111

 

5



Standard Normal Distribution

What is the standard normal distribution? Solving normal distribution problems

Class notes, Blank notes

Ex 24.04

Normal Distributions

Theta pg 112

6



Normal Distribution Problems

Practice Distribution Problems in context

 

Ex 24.06

 

Theta pg 113, 114

 

7



Inverse Normal Distribution problems

Solving inverse normal distribution problems to calculate the mean or standard deviation

 

Class notes, Blank notes

Ex 24.08, 24.10

Inverse Normal problems

Theta pg 115,116

 

8



Simulations

planning, designing, and using simulatons to represent probability situations

Card Simulation

 

Class notes, Blank notes

Ex1.13,

Theta pg 105, 106

 

9



Simulation Practice

Practising designing simulations

Card Simulation

 

Class notes, Blank notes

Ex1.13,

Theta pg 107, 108

      Theta pg 109, 110
  Revision    
       
       
       

 

 

 back to top