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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