EE 230, Spring 2009-2010
HW Set #4
1) The joint PMF of two RVs X and Y is given.
Find and (plot)
a) E[X|Y]
b) E[X | Y = 2]
c) E[Y | X = 4]
d) E[X 2+1/X| Y = 3]
e) E[X 2+ Y 2| X = 3]
f) Are X and Y independent? Why?
g) Are X and Y conditionally independent
EE 230 MT1-2004
Question 1. (20 points)
Probability Theory course is being offered
in 3 different universities, namely M, B and
S, in the same semester. An average
student is selected from each university
and the respective probabilities of each
average s
Middle East Technical University
Department of Electrical and Electronics Engineering
EE230: Probability and Random Variables
Homework 2
Due: October 31, 2012,
Wednesday 17:30 (D-217)
1) A coin is tossed independently n times. The probability of heads at
Middle East Technical University
Department of Electrical and Electronics Engineering
EE230: Probability and Random Variables
Homework 1
Due: October 12, 2012, 17:30
1) Emre and Selin attend probability lectures randomly and independently. Any lecture is
Middle East Technical University
Department of Electrical and Electronics Engineering
EE230: Probability and Random Variables
Homework 3
Due: November 23, 2012, 17:30
1) The PMF, pX(k), of a discrete random variable X is given. Let the the events A and
B