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Electrical Engineering 431
Problem Set V
Due: March 12, 2004
5.1
Laplacian Random Variables
A random variable is said to be
Laplacian
if its probability density function has the form
where
and
are positive constants.
(a)
Determine the relationship between
and
so that
is a density.
(b)
Find the probability distribution function
.
(c)
Reparameterize the Laplacian distribution in terms of the variance
.
(d)
Find the probability that the random variable
lies between
and
.
(e)
What is the probability of
given that
?
5.2
Probabilistic Football
A football team, which shall remain nameless, likes to mix passing and running plays. The
yardage gained on a running play is a random variable uniformly distributed between
and
yards regardless of the yardage gained on any other play. The team’s quarterback, Bob Linguini,
has a strange quirk: the yardage gained on a passing play depends on the previous play. If the
previous play was a running play, the yardage gained passing is a random variable uniformly
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This homework help was uploaded on 02/11/2008 for the course ELEC 431 taught by Professor Abercrombie during the Spring '07 term at Rice.
 Spring '07
 Abercrombie
 Electrical Engineering, Digital Signal Processing, Signal Processing

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