This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Let the random variables X and Y have a joint PD which is uniform over the triangle with vertices (0 , 0), (0 , 1), and (1 , 0). (a) ind the joint PD of X and Y . (b) ind the marginal PD of Y . (c) ind the conditional PD of X given Y . (d) ind E [ X  Y = y ], and use the total expectation theorem to Fnd E [ X ] in terms of E [ Y ]. (e) Use the symmetry of the problem to Fnd the value of E [ X ]. 4. We have a stick of unit length, and we break it into three pieces. We choose randomly and independently two points on the stick using a uniform PD, and we break the stick at these points. What is the probability that the three pieces we are left with can form a triangle? Page 1 of 1...
View
Full
Document
This note was uploaded on 12/02/2011 for the course ENGINEERIN EE302 taught by Professor Proasin during the Spring '11 term at South Carolina.
 Spring '11
 Proasin
 Computer Science, Electrical Engineering

Click to edit the document details