This preview shows page 1. Sign up to view the full content.
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
 Spring '04
 Eisenstein

Click to edit the document details