hw8 - STAT 225 - Homework 8 Due Monday 6/22/09 Do the...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Due Monday 6/22/09 Do the following problems : 1. Page 289, problem 5.138 Hint: The set-up here is: λ Gamma ( α , β ) ( Y | Λ = λ ) P ( λ ) [Λ is upper-case λ ] 2. Let X | Y = y Beta (1 ,y ) and Y U (0 , 1) Prove: E ( X ) = ln 2 3. Let ( X,Y ) be jointly continuous with the following joint density: f XY ( x,y ) = 30 y 4 (1 - y ) 2 xe - xy x > 0 0 < y < 1 0 otherwise (a) Find f Y ( y ), the marginal distribution of Y , and identify the distribution you got. (b) Find f X | Y ( x | y ), the conditional distribution of X given Y = y , and identify the distribution you got. (c) Find E ( X ) 4. A bit challenging. .. Let ( X,Y ) be jointly continuous with the following joint density: f XY ( x,y ) = 1 6 e - x 0 < y < x 3 x > 0 0 otherwise (a) Find f X ( x ), the marginal distribution of X , and identify the distribution you got. (b) Find
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/15/2011 for the course STAT 36225 taught by Professor Tom during the Summer '09 term at Carnegie Mellon.

Page1 / 2

hw8 - STAT 225 - Homework 8 Due Monday 6/22/09 Do the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online