Please explain the steps! A random variable T~ gamma (a,^) hasdensity functionfy(t) = plasr(a)ле-1t0<7' 1-6 (76)a) show that it belongs to an exponential family.Define neutral parameters as functions ofa and a.let X,~ Gamma (a,, 1) and X₂ ~ Gamma (921)be independent random variables. Lex Y₁ = X₁/X₂and Ya =X₁ + X₂. Find the marginalprobability density functions for Y₁ and Y2Are they independent?

Given that a random variable has density function:

Answered: A random variable T~ gamma (a,^) has…

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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