Suppose that X, Y are jointly continuous with joint probability density function ) = ce = ² (²+2)² 2 x, y = (-∞, ∞0), for some constant c. (a) Find the value of the constant c. (b) Find the marginal density functions of X and Y. f (x, y)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that X, Y are jointly continuous with joint probability density function
f (x, y) = ce ² (²
2
x, y = (-∞0, ∞0),
for some constant c.
(a) Find the value of the constant c.
(b) Find the marginal density functions of X and Y.
Transcribed Image Text:Suppose that X, Y are jointly continuous with joint probability density function f (x, y) = ce ² (² 2 x, y = (-∞0, ∞0), for some constant c. (a) Find the value of the constant c. (b) Find the marginal density functions of X and Y.
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