Recitation 6 Solutions

Recitation 6 Solutions - Steven Weber Dept of ECE Drexel...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2010) Recitation 6 (Friday, May 7) Question 1. Consider a presidential election between two candidates (A and B) in a country of n voting citizens. The citizens agree to elect a candidate at random in the following way. Each citizen votes for candidate A with probability p or for candidate B with probability 1- p . Let N A ,N B be the number of votes received by candidate A,B respectively. Note that N B = n- N A . Note the event that the absolute value of the deviation of a random variable X around a center point c being less than d , i.e., {| X- c | ≤ d } , equals the event { c- d ≤ X ≤ c + d } . 1. Give an expression for the probability that the difference in the number of votes received by A and B is less than d ( ≤ n ). Simplify your answer as much as possible. P ( | N A- N B | < d ) = P ( | N A- ( n- N A ) | < d ) = P ( | 2 N A- n | < d ) = P ( n- d < 2 N A < n + d ) .....
View Full Document

This note was uploaded on 06/10/2010 for the course ENGR 361 taught by Professor Eisenstein during the Spring '04 term at Drexel.

Ask a homework question - tutors are online