15.3 - Discrete Case
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Practice Questions
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What is the marginal pmf of X if the joint pmf p(x,y) = 0.2 for (x=0,y=1) and p(0,2) = 0.3?
💡 Hint: Remember to sum probabilities across possible values of Y.
Define marginal distribution in your own words.
💡 Hint: Think about focusing on one variable only.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the marginal pmf of X?
💡 Hint: Focus on how we isolate one variable.
True or False: Marginal distributions can always be used to reconstruct the joint distribution.
💡 Hint: Consider if independence is necessary for reconstruction.
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Challenge Problems
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Consider the joint pmf for two discrete random variables: p(0,0)=0.3, p(0,1)=0.1, p(1,0)=0.4, and p(1,1)=0.2. Calculate the marginal distribution for both variables.
💡 Hint: Sum probabilities for each variable correctly.
If the two variables X and Y are independent, deduce the relationship of their joint pmf to their marginal pmfs mathematically.
💡 Hint: Reflect on definitions of independence.
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