Education Technology

Activities

• Subject Area

• Standard: VCE: Specialist Mathematics: Specialist Mathematics

Aust Senior

20 Minutes

• Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ Navigator™
• Software

TI-Nspire™
TI-Nspire™ CAS
TI-Nspire™ CAS Navigator™ NC System
TI-Nspire™ Navigator™ NC System

4.3

Frank’s Farm

Activity Overview

When should linear transformations be applied to the combination of random variables? Frank has steers and heifers to sell, their weights are randomly distributed. What is the probability that four randomly selected steers and two heifers will exceed the required weight? What about the required price? A program is provided for students to simulate the problem so they can compare their theoretical calculations with the simulations.

Objectives

• Concept of the sample mean as a random variable;
• Simulation of repeated random sampling;
• Linear combinations of a random variable.

Vocabulary

• Random Variable,
• Variance and standard deviation,
• Mean,
• Linear combination,