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EE 351K Probability, Statistics, and Random Processes
SPRING 2011
Instructor:S.Vishwanath
sriram@ece.utexas.edu
Homework 2
Due Tuesday, Feb 8th 2011 at 3:30pm
Problem 1
A new test has been developed to determine whether a given student is overstressed. This
test is 95% accurate if the student is not overstressed, but only 70% accurate if the student is overstressed. It
is known that 80% of all students are overstressed. Given that a particular student tests negative for stress,
what is the probability that the test result is correct?
Problem 2
A parking lot consists of a single row containing
n
parking spaces
(
n
≥
2)
. Alice arrives
when all spaces are free. Bob is the next person to arrive. Each person makes an equally likely choice
among all available spaces at the time of arrival. Describe the sample space. Obtain
P
(
A
)
, the probability
the parking spaces selected by Alice and Bob are at most 2 spaces apart.
Problem 3
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This note was uploaded on 02/02/2011 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.
 Spring '07
 BARD

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