If a variable is uniformly distributed in the interval $[α, β]$ $[alpha,beta]$ , what is the probability distribution function?

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Answer 1 · 2017-06-29T06:41:18

Probability is uniformly $\frac{1}{β - α}$ $1/(beta-alpha)$ in the interval $[α, β]$ $[alpha,beta]$

Let the interval be $[α, β]$ $[alpha,beta]$

as total probability is unit i.e. $1$ $1$

probability is uniformly $\frac{1}{β - α}$ $1/(beta-alpha)$ in the interval $[α, β]$ $[alpha,beta]$

If a variable is uniformly distributed in the interval [α,β][alpha,beta], what is the probability distribution function?