15.8 - Independence and Marginals
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Practice Questions
Test your understanding with targeted questions
Define independence between two random variables.
💡 Hint: Think of how one variable's value affects another.
What is a marginal distribution?
💡 Hint: Consider how to isolate one variable from a joint distribution.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does it mean for two variables to be independent?
💡 Hint: Recall the definition of independence.
If f(x, y) = f(x) * f(y), what does that indicate?
💡 Hint: Look at the properties of joint distributions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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?
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