Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define raw moment and give an example.
💡 Hint: Think about the expected values.
Question 2
Easy
What does variance measure?
💡 Hint: Consider how values deviate from the average.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the first moment known as?
- Skewness
- Variance
- Mean
💡 Hint: Think about what the average value represents.
Question 2
True or False: The second central moment is equal to the variance.
- True
- False
💡 Hint: Remember how variance is defined.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a random variable X with MGF M_X(t) = e^{(μ + σ^2 t^2)/2}, find the first and second moments.
💡 Hint: Remember that the first moment is the first derivative evaluated at t=0.
Question 2
Calculate the variance from a given MGF, M_X(t) if its derivatives provide moments: M'_X(0) = 2, M''_X(0) = 6.
💡 Hint: Use the relationship between variance and moments.
Challenge and get performance evaluation