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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define marginal distribution in your own words.
💡 Hint: Think about focusing on one variable only.
Question 2
Easy
What is the method to find the marginal pdf of X from the joint pdf?
💡 Hint: Recall integration over the variable that is not of interest.
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 marginal distribution?
- Only considers one variable.
- Combines multiple distributions.
- Focuses on joint probability.
💡 Hint: Think of how you analyze one aspect at a time.
Question 2
True or False: The marginal distributions for continuous variables require summation.
- True
- False
💡 Hint: Remember the method for continuous cases.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a joint distribution f(x,y) = 12xy, 0 < x < 1, 0 < y < 1, find the marginal distributions for both X and Y.
💡 Hint: Remember the limits set for x and y!
Question 2
Explain the significance of knowing if two random variables are independent in terms of marginal distributions.
💡 Hint: Think about the relationship between independence and probabilities.
Challenge and get performance evaluation