0

This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?

This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?

This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?

Normal Distribution

Paula Siberio, May 31, 2024

Introduction to the Normal Distribution

1. Continuous Random Variable
2. The Normal Distribution
3. The Normal Distribution Graph

1.

Continuous Random Variable

Definition of Continuous Random Variable

We already defined random variables, and discrete random variables.[br][br]But a random variable can also be continuous:[br][br][color=#0000ff]A c[b]ontinuous random variable[/b] X can take any value within some interval on the number line.[br][br][/color]For example, X could be:[br][list][*]the heights of men, which lie in the interval 50 cm < X < 250 cm[/*][*]the volume of water in a tank, which could lie in the interval 0 m[sup]3[/sup]< X < 100 m[sup]3[/sup][/*][/list][br]

Excercise: Classify each random variable as continuous or discrete

The quantity of fat in a sausage

Continuous Discrete

The weight of a Year 12 student

Discrete Continuous

The number of trout in a lake

Discrete Continuous

The length of a horse's mane

Discrete Continuous

The mark out of 50 for a geography test

Continuous Discrete

The volume of water in a cup of coffee

Continuous Discrete

The number of hairs on a cat

Continuous Discrete

The height of a skyscraper

Discrete Continuous

– Paula Siberio

2.

–

3.

–

Information

Error

A timeout occurred. Trying to re-save …

Sorry, but the server is not responding. Please wait a few minutes and then try to save again.