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
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define independence between two random variables.
💡 Hint: Think of how one variable's value affects another.
Question 2
Easy
What is a marginal distribution?
💡 Hint: Consider how to isolate one variable from a joint distribution.
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 does it mean for two variables to be independent?
- They are always the same
- Knowing one gives no information about the other
- They depend on each other
💡 Hint: Recall the definition of independence.
Question 2
If f(x, y) = f(x) * f(y), what does that indicate?
- True
- False
💡 Hint: Look at the properties of joint distributions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have two random variables: X, representing the time taken to finish a project, and Y, representing the number of meetings held. If their joint pdf is given, explain how you would prove or disprove their independence.
💡 Hint: Focus on how the integration works.
Question 2
A communication engineer observes that signal strength and background noise behave independently based on their joint distribution. Describe the analysis process using independence.
💡 Hint: What do you compare to check independence?
Challenge and get performance evaluation