Find the joint probability density of = x + Y, Zz X+Y Find the marginal pdf of Z2.

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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Let X and Y random variables have independent Gamma distributions with X-Gamma(1, 6) and Y-Gamma(2, B).
a. Find the joint probability density of
Z, = X + Y, Z, =
X+Y
a. Find the marginal pdf of Z2.
Transcribed Image Text:Let X and Y random variables have independent Gamma distributions with X-Gamma(1, 6) and Y-Gamma(2, B). a. Find the joint probability density of Z, = X + Y, Z, = X+Y a. Find the marginal pdf of Z2.
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