Question

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

Answer 1

Probability is uniformly `1/(beta-alpha)` in the interval `[alpha,beta]`

Explanation:

Let the interval be `[alpha,beta]`

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

probability is uniformly `1/(beta-alpha)` in the interval `[alpha,beta]`