Discrete random mode

Just like when working with any data involving probabilities:

The mode is the value with the highest probability.

We know this, because the mode is defined as the value that appears most frequently in a data set. In the case of probability, the one that occurs most frequently is the one with the highest probability, which then gives us that fact.

Notation

We can write the mode of a list of values X as just \text{mode}(X).

Multiple modes

If there are two or more values of X with the same, highest probability, they are all modes of the variable.

For two modes, we call it bimodal.

Calculating the mode

If we have a probability distribution table, like this:

Xp(X)
10.1
20.3
30.2
40.4

Then we can see that the value with the highest probability is 4, which has a probability of 0.4. So the mode is 4, which we can write as:

\text{mode}(X) = 4

flashcards

QuestionAnswer
What is the mode in the context of discrete random variables?The mode is the value with the highest probability.
How is the mode of a list of values X written in notation?\text{mode}(X)
What happens if two or more values of X have the same, highest probability?They are all modes of the variable.
What is it called when there are two modes?It is called bimodal.
From the table
X