6. Let the joint probability density function for (X, Y) be f(x.y) - ; e"Y, 1 2 0 < y< ∞, - y< x < y, zero otherwise. a) Find the marginal probability density function of X, fx(x).

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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6.
Let the joint probability density
function for (X, Y) be
f(х. у) -
1
e
0 < y< ∞,
- у<х<у,
zero otherwise.
а)
Find the marginal probability density function of X, fx(x).
Transcribed Image Text:6. Let the joint probability density function for (X, Y) be f(х. у) - 1 e 0 < y< ∞, - у<х<у, zero otherwise. а) Find the marginal probability density function of X, fx(x).
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