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2 cards from this section. Quick, good the night before a test.
What is a marginal distribution?
Think about how we analyze one variable at a time.
How is the marginal pdf of X calculated when given the joint pdf f(X, Y, Z)?
Remember the integration limits.
What does marginal distribution allow you to analyze?
Think about the definition of marginalization.
True or False: To find marginal distributions for three variables, we require only one integration.
Recall how we approach integration in multivariable calculus.
Given the joint pdf of three variables f(X, Y, Z) = 4xyz for 0 < x, y, z < 1, derive the marginal pdf of Y.
Perform double integration correctly and set your limits!
In a reliability study involving three components A, B, C with joint distributions, define how you would assess the performance of component B using marginal distributions.
Consider all variables' interdependencies.
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