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3 cards from this section. Quick, good the night before a test.
Define Joint PMF.
Think of it as the probability table for two variables.
What do we call the probability of one variable independent of another?
Remember, it's about the influence of one on another.
What does the joint PMF represent?
Focus on the word 'joint'.
True or False: If two random variables are independent, P(X, Y) = P(X) * P(Y).
Think about their interaction.
Given a joint PMF where P(X=1, Y=0) = 0.2, P(X=1, Y=1) = 0.3, and all others are 0, compute marginal PMFs for X and Y.
Look carefully at how you sum probabilities.
Consider a joint PDF f(x,y) = 2xy for 0 <= x <= 1 and 0 <= y <= 1. Confirm it is a valid PDF and find marginal PDFs for each variable.
Check for area under the curve.
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