Mathematical Models in Probability and Statistics.

Question 1

Outline the 7 stages involved when designing a mathematical model.

Answer 1

1: A real world problem is observed.
2: A MM is devised.
3: The MM is used to make predictions about the expected behaviour of the real-world problem.
4: Experimental data is collected from the real world.
5: Predicted and observed outcomes compared.
6: Statistical tests are used to assess how well the model describes the real world.
7: The MM is revised if necessary.

Question 2

State the advantages of mathematical models.

Answer 2

• quickly and easily produced
• simplify complex situations
• improve understanding of the real world
• certain variables can be readily changed
• prediction of future
• provide control

Question 3

State the disadvantages of mathematical models.

Answer 3

• only give partial description of real situation.

- only work for a restricted range of values.