practicemidterm

# practicemidterm - 36-226 INTRO TO PROBABILITY&...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 36-226 INTRO TO PROBABILITY & STATISTICS II N08PRACTICE MIDTERMYou must show your work and/or explain your steps in order to get full credit or be consideredfor partial credit.This is a closed book/closed notes exam. You may use aone–sidedsheet of notes (8.5 by11 inches) and a calculator. You may not share a calculator, pencil, paper or anything elseduring the exam.Your ANDREW ID:Your First Name:Your Last Name:Your Signature:Grader use:ProblemTotalCorrect1492373648Total100*** Do not turn this page until instructed to do so.***1PLEASE CHECK THAT YOU HAVE PAGES 1 THROUGH 71. LetX1,X2,...,Xnbe i.i.d. from aGamma(2, θ)distribution, which has the followingdensity function:fX(x;θ) =xe-x/θθ2x >θ >otherwiseFor this problem it will be useful to know that:X1,X2,...,Xni.i.d∼Gamma(2, θ) =⇒∑ni=1Xi∼Ga(2n, θ)(a) (8 points) Find a sufficient statistic forθusing the factorization theorem....
View Full Document

## This document was uploaded on 07/14/2011.

### Page1 / 7

practicemidterm - 36-226 INTRO TO PROBABILITY&...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online