Question

Use the following information to answer the next eight exercises. A distribution is given as $X~U(0,12)$.

What is the theoretical mean?

Short answer

The theoretical mean will be$6$.

Step-by-step solution

Given information

A distribution is given as $X~U(0,12)$

Solution 

For any random variable $X$which follows uniform distribution with parameter $(0,12)$, the theoretical mean is given below:

$\mu =\frac{a+b}{2}$

$=\frac{0+12}{2}$

$=6$