# HW10 - (0 2 π Let X = cos(Θ and Y = sin(Θ 1 Find E Y 2...

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

ECE 302, Homework #10, due date: 3/30/2011 http://cobweb.ecn.purdue.edu/ chihw/11ECE302S/11ECE302S.html Question 1: [Basic] Problem 5.25(b,c). Question 2: [Basic] Problem 5.27(a,c,d). Question 3: [Basic] Problem 5.28. Question 4: [Intermediate/Exam Level] Suppose X is a uniform random variable with parameters a = 1 ,b = 2. Given X = x 0 , the conditional probability density function of Y , is an exponential random variable with λ = x 0 . 1. Find the sample space of ( X,Y ). 2. What is the joint probability density function of X and Y ? 3. What is the probability that P ( X < 1 . 5 and Y 2)? Question 5: [Intermediate/Exam Level] Suppose Θ is uniformly distributed in the interval

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: (0 , 2 π ). Let X = cos(Θ) and Y = sin(Θ). 1. Find E ( Y ). 2. Find E ( XY ). 3. Let h ( x ) = E ( Y | X = x ), where x is the input parameter that is between (-1 , 1). Find out the expression of h ( x ) and h ( x ). 4. Does E ( h ( X )) = E ( Y )? Question 6: [Basic] Problem 5.31. Question 7: [Basic] Problem 5.41. Question 8: [Basic] Problem 5.47. Question 9: [Basic] Problem 5.48(a,b,d). Question 10: [Intermediate/Exam Level] Problem 5.58. Question 11: [Intermediate/Exam Level] Problem 5.18. Question 12: [Basic] Problem 5.20....
View Full Document

## This note was uploaded on 02/12/2012 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue.

### Page1 / 2

HW10 - (0 2 π Let X = cos(Θ and Y = sin(Θ 1 Find E Y 2...

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

View Full Document
Ask a homework question - tutors are online