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
Unformatted text preview: ECSE305, Winter 2009 Probability and Random Signals I Assignment #6 Posted: Tuesday, March 3, 2009. Due: Tuesday, March 10, 2009, 2h30pm (in class). Important notes: Assignments without this cover page will be discarded. Student #1: Name: ID: Student #2: Name: ID: Question Marks 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Total 1. The PMF of a discrete RV X is given by p ( x ) = 1 / 15 , x { 1 , 2 , 3 , 4 , 5 } and p ( x ) = 0 otherwise. (a) Find E ( X ), E ( X 2 ) and V ar ( X ). (b) Let Y = X (6 X ). Find the PMF of Y , say p Y ( y ). (c) Find E ( Y ) using two different approaches 2. Suppose that on average, there is one typographical error in every 5 pages of a book. Assuming that the number of such errors on a single page is a Poisson random variable, what is probability of at leats one error on a specific page of the book. 3. Let X be a random number from [0 , 1]. Find the probability mass function of Y = nX , the greatest integer less than or equal to nX ....
View
Full
Document
This note was uploaded on 09/30/2009 for the course ECSE 305 taught by Professor Champagne during the Spring '09 term at McGill.
 Spring '09
 Champagne

Click to edit the document details