Year 12 Statistics‎ > ‎Simulations‎ > ‎Experiments‎ > ‎

### Probability

#### Normal distribution

Lessons calendar
Learning Objectives  Material
PROBABILITY

Introduction to probability: equally likely outcomes

#### MONTY HALL PROBLEM

MONTY HALL INTERACTIVE

Probability trees: sample with replacement

#### TREES WITH REPLACEMENT

Probability trees: sample without replacement

Venn diagrams

#### VENN DIAGRAMS APPLICATIONS

Two-way tables: interpreting and completing
(or CONTINGENCY TABLES)

#### TWO-WAY INTRO

Probability from a two-way table

PROB FROM CONTINGENCY TABLE

Risk and relative risk

Expected value

#### INSURANCE POLICY

Continuous probability

#### CONTINUOUS PORBABILITY DISTRIBUTION

Introduction: normal distribution

#### NORMALISED CURVE INTRO

Probability from areas

#### USING GRAPHICS CALCULATOR

USING THE GRAPH

Probability from tables

#### PROBABILITY FROM TABLES

Standard normal distribution

AN INTRO TO

NORMAL DISTRIBUTION

#### WHY STANDARD NORMAL?

Probabilty from Standard table

Applications of Normal distribution

#### 68-95-99 RULE

Expected value for a variable normally distributed

Inverse normal problems & applications **

EXAMPLE 1

Probability AS91267
Mathematics and Statistics 2.12
Apply probability methods in solving problems
Level  2  Credits  4  Assessment  External
This achievement standard involves applying probability methods in solving problems.

Achievement Criteria
Achievement
• Apply probability methods in solving problems.
Achievement with Merit
• Apply probability methods, using relational thinking, in solving problems.
Achievement with Excellence
• Apply probability methods, using extended abstract thinking, in solving problems.

Learning objectives
• evaluate statistically based reports interpreting risk and relative risk
• investigate situations that involve elements of chance − comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions − calculating probabilities, using such tools such as two-way tables, tree diagrams

• Apply probability methods in solving problems involves:
1. • selecting and using methods
2. • demonstrating knowledge of probability concepts and terms
3. • communicating using appropriate representations.

• Relational thinking involves one or more of:
1. • selecting and carrying out a logical sequence of steps
2. • connecting different concepts or representations
3. • demonstrating understanding of concepts;
4. and also relating findings to a context or communicating thinking using appropriate
5. statements.
• Extended abstract thinking involves one or more of:
1. • devising a strategy to investigate or solve a problem
2. • identifying relevant concepts in context
3. • developing a chain of logical reasoning
4. • making a statistical generalisation;
5. and also where appropriate, using contextual knowledge to reflect on the answer.

•  Methods include a selection from those related to:
1. • risk and relative risk
2. • the normal distribution
3. • experimental distributions
4. • relative frequencies
5. • two-way tables
6. • probability trees.

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