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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a marginal distribution?
💡 Hint: Think about analyzing one variable in a joint setting.
Question 2
Easy
How do you derive a marginal distribution for discrete variables?
💡 Hint: Consider the values you need to add up.
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 a marginal distribution represent?
- A joint behavior
- One variable's behavior
- Interdependent variables
💡 Hint: Focus on independent analyses.
Question 2
True or False: Marginal distributions can be reconstructed to find joint distributions if variables are dependent.
- True
- False
💡 Hint: Consider how dependency impacts analysis.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the joint probability function f(x,y) = 2xy for 0<x<1 and 0<y<1, find both marginal distributions f(x) and f(y).
💡 Hint: Perform integrations over the appropriate limits for each variable.
Question 2
Two variables X and Y are jointly distributed, and you have the marginal pdfs. Discuss if you can reconstruct the joint pdf when X and Y are independent.
💡 Hint: Think about the relationship between joint and marginal behaviors in independence.
Challenge and get performance evaluation