None Let X be a continuous random variable following a gammadistribution with a=3 and B=8. Let Y=marginal PDF for Y.=81+XFind theOfr (y) = 2048 (8-)² -8-(8-y)/y for y20(y)=2048.y4efr (y)=4096-оfr (y)=2048-64/(1-1)2for y≥0(y-1)e(8-1)² -8(8-1)/y, for 0≤ y ≤8y2Ofr (y) = 4096 (8-1)²y2e(8-y)² -s-(8-y)/y for y≥0Ofr (y)=2048.(8-y)²e-8-(8-y)/y, for 0≤ y ≤8yfr (y)=.2048-64/(3-1)2e, for 0≤y≤8(y-1)

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Answered: Let X be a continuous random variable…

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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Question

None

Let X be a continuous random variable following a gamma
distribution with a=3 and B=8. Let Y=
marginal PDF for Y.
=
8
1+X
Find the
O
fr (y) = 2048 (8-)² -8-(8-y)/y for y20
(y)=2048.
y4
e
fr (y)=4096-
о
fr (y)=
2048-64/(1-1)2
for y≥0
(y-1)
e
(8-1)² -8(8-1)/y, for 0≤ y ≤8
y2
O
fr (y) = 4096 (8-1)²
y2
e
(8-y)² -s-(8-y)/y for y≥0
O
fr (y)=2048.
(8-y)²
e
-8-(8-y)/y, for 0≤ y ≤8
y
fr (y)=.
2048-64/(3-1)2
e
, for 0≤y≤8
(y-1)

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