15.2 - Definition of Marginal Distributions
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Practice Questions
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Define marginal distribution in your own words.
💡 Hint: Think about focusing on one variable only.
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.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the marginal distribution?
💡 Hint: Think of how you analyze one aspect at a time.
True or False: The marginal distributions for continuous variables require summation.
💡 Hint: Remember the method for continuous cases.
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Challenge Problems
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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!
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.
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