Question

A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is a.different for each interval. b.the same for each interval. c.at least one. d.zero.

Answer 1

Answer:

Hence the correct option is Option b that is the same for each interval.

Step-by-step explanation:

The PDF for Uniform distribution in [a,b] is given by  

$f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b$  

So the probability that the random variable assumes a value in​ [a,b] is given by  

$\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1$

Therefore the correct option is b. the same for each interval.