PS06 - University of Illinois Fall 2009 ECE 313: Problem...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: University of Illinois Fall 2009 ECE 313: Problem Set 6 Bayes Formula and Midterm Review Problems Due: Wednesday October 7 at 4 p.m. Reading: Powerpoint Lecture Slides, Sets 13-16 Noncredit Exercises: Chapter 3: Problems 1, 2, 5, 10, 12, 16, 31, 38, 39, 51, 52 Theoretical Exercises 1, 2, 8, 16; Self-Test Problems 1-14. Reminders: No class on Wednesday September 30 and Friday October 2 but office hours as usual next week 1. [Conditional Probabilities] This is Theoretical Exercise 3.5 in Ross. We say that event B gives positive information about event A if P ( A | B ) > P ( A ), that is, the occurrence of B makes the occurrence of A more likely. Now suppose that B gives positive information about A . If so, (a) Does A give positive information about B ? (b) Does B c give negative information about A , that is, is it true that P ( A | B c ) < P ( A )? (c) Does B c give positive information or negative information about A c ? 2. [Hindsight] The probability that a light bulb manufactured by Transylvania Corp. burns out during the n-th hour of operation is p 1 ( n ), n = 1 , 2 ,.... The probability that a light bulb manufactured by Eastinghouse Corp. burns out during the n-th hour of operation is p 2 ( n ), n = 1 , 2 ,.... Note that we are not giving you numerical values of these probabilities but do not forget that p 1 ( n ) = p 2 ( n ) = 1. A bulb is equally likely to have been made by one of the two manufacturers....
View Full Document

This note was uploaded on 11/08/2010 for the course ECE ECE 313 taught by Professor S during the Spring '10 term at University of Illinois at Urbana–Champaign.

Page1 / 2

PS06 - University of Illinois Fall 2009 ECE 313: Problem...

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