This preview shows pages 1–7. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Y (c). the conditional p.d.f of X given Y = y (d). E ( Y  X ) and E ( X  Y ) (e). Cov ( X,Y ) (f). P ( Y X + 1) (g). Are X and Y independent ? 6 5. For each of the following questions, nd E ( X ) and V ar ( X ). (a). Suppose X  Y = y POI( y ), and Y GAM( , ) with the pdf f ( y ) = 1 ( ) y 1 ey/ , for y > . (b). Suppose X  Y = y BIN( y,p ) and Y POI( ). (c). Suppose X  Y = y BIN( y + 1 ,p 1 ) and Y BIN( n,p 2 ). 7 6. Suppose X and Y have the joint pdf f ( x,y ) = exy , x > , y > , and zero otherwise. (a). Find P ( X + Y < 1). (b). Let U = X + Y , and V = X . Find the joint pdf of U and V ....
View Full
Document
 Spring '10
 Yi,GraceYun

Click to edit the document details