Question

Given ten points from a continuous uniform distribution from [0,1], what is the distribution of the difference between the 6th and the 5th smallest points?

a. Uniform distribution on [0,1][0,1]
b. Exponential distribution
c. Normal distribution
d. Binomial distribution

Answer 1

The distribution of the difference between the 6th and the 5th smallest points from a continuous uniform distribution from [0,1] is the uniform distribution.

Step-by-step explanation:

The distribution of the difference between the 6th and the 5th smallest points from a continuous uniform distribution from [0,1] is c. the uniform distribution.

In a continuous uniform distribution, all values within a given range are equally likely to occur. So, the difference between the 6th and the 5th smallest points will also follow a uniform distribution.