Suppose that the random variables X, Y, Z have multivariate PDF fXYZ(x, y, z) = (x + y)e−z for 0 < x < 1, 0 < y < 1, and z > 0. Find (a) fXY(x, y), (b) fYZ(y, z), (c) fZ(z)
Suppose that the random variables X, Y, Z have multivariate PDF fXYZ(x, y, z) = (x + y)e−z for 0 < x < 1, 0 < y < 1, and z > 0. Find (a) fXY(x, y), (b) fYZ(y, z), (c) fZ(z)
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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that the random variables X, Y, Z have multivariate PDF
fXYZ(x, y, z) = (x + y)e−z for 0 < x < 1, 0 < y < 1, and z > 0.
Find (a) fXY(x, y), (b) fYZ(y, z), (c) fZ(z)
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