Math Problem Statement
Find the marginal distributions of X and Y given the joint mass function p(x, y) = \frac{C}{(x+y-1)(x+y)(x+y+1)}
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Joint Probability Distribution
Marginal Distribution
Formulas
Joint mass function: p(x, y) = \frac{C}{(x+y-1)(x+y)(x+y+1)}
Marginal distribution of X: p_X(x) = \sum_y p(x, y)
Marginal distribution of Y: p_Y(y) = \sum_x p(x, y)
Theorems
Summing over Joint Distributions
Normalization of Probability
Suitable Grade Level
Undergraduate level (Probability and Statistics)
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