Let X have a gamma distribution with ? = 3 and ? = 2.

Chapter 5, Problem 3E

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QUESTION:

Let \(X\) have a gamma distribution with \(\alpha=3\) and \(\theta=2\). Determine the pdf of \(Y=\sqrt{X}\).

Equation Transcription:

 

 


Text Transcription:

X  

alpha=3  

theta=2

Y=sqrt X

Questions & Answers

QUESTION:

Let \(X\) have a gamma distribution with \(\alpha=3\) and \(\theta=2\). Determine the pdf of \(Y=\sqrt{X}\).

Equation Transcription:

 

 


Text Transcription:

X  

alpha=3  

theta=2

Y=sqrt X

ANSWER:

Step 1 of 3

Given:

Probability distribution function of a gamma distribution:

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