*We thoroughly check each answer to a question to provide you with the most correct answers. Found a mistake? Tell us about it through the REPORT button at the bottom of the page. ***Ctrl+F (Cmd+F) will help you a lot when searching through such a large set of questions.**

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

**Answer:** Mean: 8/3, Variance: 8/9

## Explanation

Let the probability density function f of the random variable X be given as:

### Was this helpful?

##### Quizzma Team

The Quizzma Team is a collective of experienced educators, subject matter experts, and content developers dedicated to providing accurate and high-quality educational resources. With a diverse range of expertise across various subjects, the team collaboratively reviews, creates, and publishes content to aid in learning and self-assessment.

Each piece of content undergoes a rigorous review process to ensure accuracy, relevance, and clarity. The Quizzma Team is committed to fostering a conducive learning environment for individuals and continually strives to provide reliable and valuable educational resources on a wide array of topics. Through collaborative effort and a shared passion for education, the Quizzma Team aims to contribute positively to the broader learning community.