EE351KHW_8Fall2007 - ] 2 [ XY E (c) ] 6 4 [ Y X V (d) If Y...

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

View Full Document Right Arrow Icon
THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE351K, Probability and Random Process, Fall 2007 Assignment No. 8; Due Thursday, October 25, 2007 1. For the following joint pmf, find the following. X Y 1 2 -2 3/8 1/8 3 2/8 2/8 (a) Marginal pmf’s, ) ( x p X and ) ( y p Y (b) Expected values, ] [ X E and ] [ Y E (c) Variances, ] [ X V and ] [ Y V (d) Conditional pmf’s, ) | ( | y x p Y X and ) | ( | x y p X Y (e) Conditional expectations, ] | [ y Y X E = and ] | [ x X Y E = (f) Are X and Y independent? (g) ) 3 , 5 . 1 ( Y X P (h) ) 3 | 0 ( = Y X P (i) Calculate ] [ X E from ] | [ y Y X E = . (j) Calculate ] [ Y E from ] | [ x X Y E = . (k) Calculate ] , [ Y X Cov and Y X , ρ .
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. Suppose 3 ] [ = X E and 25 ] [ 2 = X E . Find (a) ] 4 [ X E (b) ] 9 3 [ X E (c) ] [ X V (d) X σ (e) ] 2 [ X V (f) ] 6 4 [ X V 3. Suppose X and Y are independent, and 1 ] [ = X E , 2 ] [ = Y E , 6 ] [ = X V , and 9 ] [ = Y V . Find (a) ] [ XY E (b)
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ] 2 [ XY E (c) ] 6 4 [ Y X V (d) If Y X Z 4 3 = , what is the standard deviation of Z , = Z ? 4. At the ABC book publishing company, past experience indicates that, on average, 3 errors occur per 100 pages. (a) How many errors do you expect to find in ABCs latest book of 175 pages? (b) How many errors do you expect to find in Chapter 6, which contains 68 pages? (c) What is the probability of finding exactly 2 errors in Chapter 1 which contains 50 pages? (d) What is the probability of finding 2 or more errors in Chapter 3 which contains 39 pages?...
View Full Document

This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.

Page1 / 2

EE351KHW_8Fall2007 - ] 2 [ XY E (c) ] 6 4 [ Y X V (d) If Y...

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