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3 cards from this section. Quick, good the night before a test.
What is a marginal distribution?
Think about analyzing one variable in a joint setting.
How do you derive a marginal distribution for discrete variables?
Consider the values you need to add up.
What does a marginal distribution represent?
Focus on independent analyses.
True or False: Marginal distributions can be reconstructed to find joint distributions if variables are dependent.
Consider how dependency impacts analysis.
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).
Perform integrations over the appropriate limits for each variable.
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.
Think about the relationship between joint and marginal behaviors in independence.
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