Problem 36E

Suppose that f (x) = 0.125x for 0 < x < 4. Determine the mean and variance of X.

Solution :

Step 1 of 1:

Given f (x) = 0.125 for 0 < x < 4.

Our goal is:

We need to find the mean and variance of X.

The mean is

or

2.6666

Therefore, the mean 2.6666.

Then the variance V(X) is

Therefore, the variance .