8: Probability Distributions

8.3 Rolling a Fair Die: The Discrete Uniform Distribution

Read the textbook

Key Idea 1: Discrete means that the possible values are specific values that can be listed...

Discussion

The opposite of discrete is continuous, which we will discuss in Section 8.5.

Key Idea 2: Uniform means that each of the values is equally-likely...

Discussion

If you roll a fair six-sided die, you are equally-likely to get 1, 2, 3, 4, 5, or 6, an example of a discrete uniform distribution.

Key Idea 3: The theoretical mean is just halfway between the low value and the high value...

Discussion

Theoretical mean = (low value + high value) / 2

Key Idea 4: The formula for the theoretical standard deviation...

Discussion

The formula for theoretical standard deviation is given by,

Exercises

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