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4 cards from this section. Quick, good the night before a test.
Define joint distribution and provide examples of its types.
Think about how we measure joint occurrences.
State the formula for joint PMF.
Look at how we express probabilities for discrete cases.
What does a joint distribution describe?
Think about what relationships we study in statistics.
True or False: Two independent random variables must have a joint distribution that equals the product of their marginal distributions.
Recall the independence formula discussed in class.
Consider a joint PMF table for random variables X and Y:
Check the independence of X and Y.
Look for any discrepancies between the joint PMF and the products of marginals.
Given f(x,y) = xe^{-x}ye^{-y} for x,y>0, determine if X and Y are independent.
Verify by directly calculating the products of the marginals!
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