What does the video mean by a uniform distribution between a minimum and maximum?

Conditions

• There must be a defined minimum and maximum.
• All outcomes between those bounds are treated as equally likely.

Reasoning, step by step

1. Identify the bounded interval for the uncertain quantity.
2. Apply the uniform distribution assumption: every outcome within the interval has the same relative likelihood.

Example

The narrator says, "The probability distribution assumes the relative likelihood of all outcomes between a defined min and a defined max are the same." Visually, two horizontal ranges labeled 1 to 5 and 2 to 6 are shown as uniform intervals.

Common misconceptions

• Assuming that outcomes at the extremes are more or less likely than those in the middle.
• Thinking the uniform distribution applies to discrete values only, whereas the video implies continuous time values.

Watch the explanation

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