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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,