Continuous Random Variable
Definition of Continuous Random Variable
We already defined random variables, and discrete random variables.
But a random variable can also be continuous:
A continuous random variable X can take any value within some interval on the number line.
For example, X could be:
- 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 m3< X < 100 m3
Excercise: Classify each random variable as continuous or discrete
The quantity of fat in a sausage
The weight of a Year 12 student
The number of trout in a lake
The length of a horse's mane
The mark out of 50 for a geography test
The volume of water in a cup of coffee
The number of hairs on a cat
The height of a skyscraper