Practice Properties Of Marginal Distributions (15.7) - Marginal Distributions

Practice: Properties of Marginal Distributions

Lesson 15.7Marginal Distributions

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8 questions

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2 cards from this section. Quick, good the night before a test.
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6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define marginal distribution in your own words.
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Think about what happens when we focus solely on one variable.
Question 2.
What is meant by the term 'marginalization'?
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Consider how we simplify a joint distribution.
3Question 3.
What is a marginal distribution?
- A distribution identifying all variable relationships
- The distribution of one variable ignoring others
- The joint distribution of multiple variables
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Think about how we isolate one variable.
4Question 4.
True or False: Marginal distributions provide complete information to reconstruct joint distributions.
- True
- False
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What's the relationship between joint and marginal distributions?
Question 5.
Given the joint pdf f(x,y) = 2x^2y for 0 < x < 1, 0 < y < 1, determine the marginal pdfs of x and y.
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Integrate the joint pdf over the appropriate variable.
Question 6.
Discuss how understanding marginal distributions can impact decisions in urban planning.
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Think about what information urban planners would need to optimize their plans.

4 more questions in this section. Enroll free to practise them all.