# exam1 - EECS 501 EXAM #1 Fall 2001 PRINT YOUR NAME HERE:...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EECS 501 EXAM #1 Fall 2001 PRINT YOUR NAME HERE: HONOR CODE PLEDGE: I have neither given nor received aid on this exam, nor have I concealed any violations of the honor code. Open book; SHOW ALL OF YOUR WORK! SIGN YOUR NAME HERE: (40) 1. Random variables x,y have joint pdf f x,y ( X,Y ) = n cXY if 0 < Y < X < 1 otherwise where c is a constant. Random variable z = y/x . (05) a. Compute the constant c in the pdf f x,y ( X,Y ). (05) b. Are x and y independent? Explain your answer. (05) c. Compute the marginal pdf f x ( X ). (05) d. Compute the conditional pdf f y | x ( Y | X ) at X = 1 / 2. (10) e. Compute the pdf f z ( Z ) using the method of events . (10) f. Compute Pr [( x + y ) < 1]. Hint: inner integral over y . NOTE: Half-credit if you do this problem with cXY replaced with c in f x,y ( X,Y ). WRITE YOUR ANSWERS HERE. SIMPLIFY TO A FRACTION. (a): (c): (e): (b): (d): (f): (40) 2. We flip coin A, which has Pr[heads]=2/3. All flips are independent....
View Full Document

## This note was uploaded on 07/22/2011 for the course EECS 370 taught by Professor Lehman during the Spring '10 term at University of Florida.

### Page1 / 3

exam1 - EECS 501 EXAM #1 Fall 2001 PRINT YOUR NAME HERE:...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online