15.7 - Properties of Marginal Distributions
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Practice Questions
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Define marginal distribution in your own words.
💡 Hint: Think about what happens when we focus solely on one variable.
What is meant by the term 'marginalization'?
💡 Hint: Consider how we simplify a joint distribution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a marginal distribution?
💡 Hint: Think about how we isolate one variable.
True or False: Marginal distributions provide complete information to reconstruct joint distributions.
💡 Hint: What's the relationship between joint and marginal distributions?
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Challenge Problems
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Given the joint pdf f(x,y) = 2x^2y for 0 < x < 1, 0 < y < 1, determine the marginal pdfs of x and y.
💡 Hint: Integrate the joint pdf over the appropriate variable.
Discuss how understanding marginal distributions can impact decisions in urban planning.
💡 Hint: Think about what information urban planners would need to optimize their plans.
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