Df shows that x is an exponential rv with parameter 1

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: found by integrating the joint p.d.f. Z1 Z31 fX x = f x; y dy = 2 e,x dy = e,x; x  0 ,1 1 6 The above p.d.f. shows that X is an exponential r.v. with parameter  = 1 2 b Similarly, we obtain the marginal p.d.f. for Y , Z1 Z11 fY y = f x; y dx = 2 e,xdx = 1 ; 1  y  3 2 ,1 0 6 Hence r.v. Y is an uniform r.v. in 1; 3 ; i.e., Y  U 1; 3 2 c Since f x; y = fX xfY y, r.v.'s X and Y are independent 3 3 They are also uncorrelated as a result of the independence. d Since X and Y are independe...
View Full Document

This note was uploaded on 03/10/2013 for the course ECE 3075 taught by Professor Staff during the Fall '08 term at Georgia Tech.

Ask a homework question - tutors are online