
IIrZL
(3
7ETr
2b/P
L
ccg331/
><2
.'@
If
.
'?>
.
,.
~
~
if>
'Z
~
,.
XI
J
2
f [ A]: [' 2) (
f(l1]~
!i
A(l8:
f
P[
A"t]
:.
f[
f,AJ
ft) : f
z,
i
G/3)/(2t'f),JJ'Ej
n
~
~
f3(1AJ
:
f
~[(3t1AJ;:
er:
P [A )J3l _
(2) (f)
e (A (\ B)
PCB)
3
b
:. .
\

L
Section 2.2 Axioms and rules of probability
Here and elsewhere we shall not obtain the best insight into things until we actually see
them growing from the beginning
Aristotle, from the work Politics
Axioms of probability
A mathematically rigorous study o
Section 7.3 Bernoulli SingleServer Queuing Process
Occupied time feels shorter than unoccupied time. Research on queuing has shown
that, on average, people overestimate how long theyve waited in a line by about 36
percent.
Alex Stone, Why Waiting is Tort
Section 3.4 Families of Discrete Distributions
All models are wrong, but some are useful.
George Box, statistician
Some probability distributions occur frequently enough that we can study the
distribution itself and later use it to model a situation.
Here
Chapter 2
ObjectOriented Design
(OOD) and C+
Data Structures Usin
1
Chapter Objectives
Learn about inheritance
Learn about derived and base classes
Explore how to redefine the member
functions of a base class
Examine how the constructors of base and
Waiting Lines
Waiting Lines Example
1
1.
Students arrive at the Administrative Services Office at an
average of one every 15 minutes, and their request take on
average 10 minutes to be processed. The service counter is
staffed by only one clerk, Judy Gums
UTA EE3330
Prof. Venkat Devarajan
Homework Set #1
1)
A number X is selected at random in the interval [2, 2]. Let the events A = cfw_X < 0,
B = cfw_X 0.5 < 1, and C = cfw_X > 0.75.
a) Find the probabilities of B,A B, and A C.
b) Find the probabilities
UTA EE3330
Prof. Venkat Devarajan
Homework Set #2
1)
Let P(A) = 0.8, P(Bc) = 0.6, and P(AU B) = 0.8. Find
(a) P(AcBc).
(b) P(BcA).
2)
Suppose that the evidence of an event B increases the probability of a criminals guilt;
that is, if A is the event tha
UTA EE3330
Prof. Venkat Devarajan
Homework Set #1
Solution
A number X is selected at random in the interval [2, 2]. Let the events A = cfw_X < 0,
B = cfw_X 0.5 < 1, and C = cfw_X > 0.75.
a) Find the probabilities of B,A B, and A C.
b) Find the probabil
UTA EE3330
Prof. Venkat Devarajan
Homework Set #2
Solution
Let P(A) = 0.8, P(Bc) = 0.6, and P(AU B) = 0.8. Find
(a) P(AcBc).
(b) P(BcA).
1)
Soln
a)
b)
2)
Soln
Suppose that the evidence of an event B increases the probability of a criminals guilt;
that
Problem 1 5 points
How many ninedigit telephone numbers are possible if the first number is
not allowed to be a 0 or 1?
Solution:
The first digit can assume 8 values.
All the other digits can assume 10 values.
Total number of 9digit numbers that can be
Name:
I D:
U niversity o f Texas at Arlington
D epartment o f Electrical Enqineerinq
EE3330 Probability and Random Signals
Spring 2006
I nstructor Dr Venkat Devarajan
Test 1
6th March, 2006
Duration: l h r 20 min.
Note:
This is a closed book closed notes
Fl'
9 I I' 0
Name:
ID:
University of Texas at Arlington
Department of Electrical Engineering
EE3330 Probability and Random Signals
Spring 2011
Instructor: Dr. Venkat Devarajan
Test 1
2'1d March 2011
Duration: 1 hr 20 min.
This is a closed book,
Name: Lgéur/ON
ID: 6 77
University of Texas at Arlington
Department of Electrical Engineering
EE 3330 Probability and Random Signals
Spring 2012
Instructor: Dr. Venkat Devarajan
Test 1
7th March 2012
Duration: 1 hr 20 min.
. Note:
0 This is a clo
EE3330  Random Signals and Noise
Final Exam
August 14th , 2012
1. Let X1 , X2 ,.,Xn be a sample from a distribution with pdf :
f(x) = axeax
2
/2
, where x>0
Find the MLestimator of a.
2. To investigate whether cafne affects cholesterol levels, ve patien