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Discrete Continuous Uniform Quiz: Discrete vs Continuous Uniform

What really separates discrete uniform from continuous uniform? This quiz helps you spot the difference by comparing equal-probability outcomes across two types of distributions. You’ll explore how values are listed,...

Questions: 21 | Attempts: 13 | Last updated: Dec 16, 2025

Sample Question 1
For a discrete uniform distribution over n equally likely outcomes {x1, x2, …, xn}, what is P(X = xi) for any i?

N

1/(b − a)

1/n

(b − a)/n

Sample Question 2
For a continuous uniform distribution on the interval [a, b], what is the probability density f(x) on that interval?

1/(b − a) for a ≤ x ≤ b, 0 otherwise

1/n for a ≤ x ≤ b, 0 otherwise

N for all x

(b − a) for a ≤ x ≤ b, 0 otherwise

Uniform Distribution PDF Quiz: Probability Density Function (Uniform Distribution)

Ever wondered what a PDF looks like for a uniform distribution? This quiz shows how probability spreads evenly across an interval and what the density function tells you. You’ll read graphs, interpret heights, and...

Questions: 20 | Attempts: 11 | Last updated: Dec 16, 2025

Sample Question 1
For a continuous uniform distribution on [a, b], what is the correct probability density function (PDF) f(x)?

1/(b - a) for a ≤ x ≤ b and 0 otherwise

1/n for a ≤ x ≤ b and 0 otherwise

(b - a) for a ≤ x ≤ b and 0 otherwise

N for all real x

Sample Question 2
For X ~ Uniform(2, 8), what is the constant density f(x) on the interval?

1/4

1/5

1/6

1/8

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