What is the distinction between a discrete random variable and a continuous random variable?

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kalfswors0m · Accepted Answer

A discrete random variable has a finite number of possible values. A continuous random variable could have any value (usually within a certain range).
A discrete random variable is typically an integer although it may be a rational fraction.
As an example of a discrete random variable: the value obtained by rolling a standard 6-sided die is a discrete random variable having only the possible values: 1, 2, 3, 4, 5, and 6.
As a second example of a discrete random variable: the fraction of the next 100 vehicles that pass my window which are blue trucks is also a discrete random variable (having 101 possible values ranging from 0.00 (none) to 1.00 (all).
A continuous random variable could take on any value (usually within a certain range); there are not a fixed number of possible values. The actual value of a continuous variable is often a matter of accuracy of measurement.
An example of a continuous random variable: how far a ball rolled along the floor will travel before coming to a stop.

Ella Williams · Accepted Answer

Discrete Variable:
Discrete variables can assume only certain values,and there are “gaps” between the values.
Discrete variables result from counting
Example: Number of cars. It could be either 3 or 4 and so on. It could not be 3.45.
Continuous Variable:
Continuous variable can assume any value within a specific range.
Continuous variables result from measuring.
Weight of an individual. It could be 65 pounds or 65.4 pounds or 70.222 pounds and so on.
Result:
Discrete variables can assume only certain values, and there are gaps between the values.

What is the difference between a discrete random variable and

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