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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: 20 | Attempts: 15 | Last updated: May 11, 2026

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

N minus 1

1/n

(b minus 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/n for a ≤ x ≤ b, zero otherwise

B minus a for a ≤ x ≤ b, zero otherwise

1/(b minus a) for a ≤ x ≤ b, zero otherwise

(b minus a)/n for a ≤ x ≤ b, zero 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: 14 | Last updated: May 12, 2026

Sample Question 1
For X ~ Uniform(a, b), which of the following is the cumulative distribution function (CDF) F(x) for a ≤ x ≤ b?

F(x) = (x − a) / (b − a)

F(x) = (b − a) / (x − a)

F(x) = 1 / (b − a)

F(x) = x / (b − a)

Sample Question 2
For X ~ Uniform(4, 12), what is the constant density f(x) on the interval [4, 12]?

1/4

1/6

1/8

1/12

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