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Continuous Random Variable

Author:Paula Siberio

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

Select all that apply
  • A
  • B
Check my answer (3)

The weight of a Year 12 student

Select all that apply
  • A
  • B
Check my answer (3)

The number of trout in a lake

Select all that apply
  • A
  • B
Check my answer (3)

The length of a horse's mane

Select all that apply
  • A
  • B
Check my answer (3)

The mark out of 50 for a geography test

Select all that apply
  • A
  • B
Check my answer (3)

The volume of water in a cup of coffee

Select all that apply
  • A
  • B
Check my answer (3)

The number of hairs on a cat

Select all that apply
  • A
  • B
Check my answer (3)

The height of a skyscraper

Select all that apply
  • A
  • B
Check my answer (3)

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