University of Illinois
Fall 2011
ECE 534: Exam II
Monday November 14, 2011
7:00 p.m. 8:15 p.m.
103 Talbot
1. [15 points] Suppose Xt = V exp(U t) where U and V are independent, and each is uniformly
di
ECE 534: Random Processes
Spring 2013
HW VII
R. Srikant
1. Consider a discrete-time queueing system with Ber() arrivals and Ber() service with < .
Assume departures occur before arrivals in each time
ECE 534: Random Processes
Spring 2011
Solutions to Midterm
1. Let cfw_Xn be a sequence of d dimensional vectors and let X be a random vector, all dened
2
on the same sample space. The Euclidean norm
ECE 534: Random Processes
Fall 2010
Solutions to Midterm 1
1. The pair of random variables (Xn , Yn ) R2 converges in some sense (a.s., or m.s., or d.)
to (X, Y ) as n . Dene Zn = Xn + Yn and Z = X +
ECE 534: Random Processes
Fall 2010
Solutions to Midterm 2
1. You are given the magnitude of a normal random variable X N (0, 1). Find the
estimator X = a + b|X| that minimizes MSE = E[(X X)2 ], and g
ECE 534: Random Processes
Spring 2013
Probability Review Quiz
R. Srikant
Feb 7 2013, 7:00-8:15
Each problem is worth 25 points. No calculators allowed; you are allowed two sheets of handwritten
notes.
ECE 534: Random Processes
Spring 2011
Solutions to Probability Review Quiz
1. Suppose youre on a game show and given a choice of three doors. A car is behind one of
the doors with equal probability. A
University of Illinois Spring 2011
ECE534 Moulin
Final Exam
Monday, May 9, 2011
Sow-ﬂow SET
Name
Score
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