hw16 - ENEE 324 ASSIGNMENT 16 Due Thu 11/05 Consider the...

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: ENEE 324 ASSIGNMENT 16 Due Thu 11/05 Consider the curve in the first quadrant of the (x, y ) plane defined by y= 2 − x, 0 ≤ x ≤ 1; 1/x2 , x > 1. (i) (2 pts.) Sketch the region A in the first quadrant bounded by the two positive axes (x and y ) and the curve defined above. Let (X, Y ) be a pair of random variables whose joint pdf equals c over A, and 0 elsewhere. (ii) (3 pts.) What is the value of c? (iii) (3 pts.) Determine and sketch the pdf fX (x) of X . (iv) (3 pts.) Determine and sketch the pdf fY (y ) of Y . (v) (6 pts.) Sketch the following pdfs: fY | X (y | X = 1/2) , fY | X (y | X = 2) , fX | Y (x | Y = 1/2) and fX | Y (x | Y = 3/2) (vi) (3 pts.) Evaluate E [Y 2 | X = 1/2]. ...
View Full Document

This note was uploaded on 03/21/2010 for the course ENEE 324 taught by Professor Ephrimedes during the Fall '05 term at Maryland.

Ask a homework question - tutors are online