San Jose State University Department of Electrical Engineering
Exam 1
EE 102, Section
Closed Book, Closed Notes,
Instructions: There are three problems. Interpretation of questions will not be given during the exam. If you are unsure about the meaning of
EE 102
Probability and Statistics in Electrical
Engineering
MIDTERM 1
Problem 1 35
Problem. 2 35
iFrokem 3 30
W . .m. "mm
Total 100
Notes:
0 Show ytmr work for full/partial credit
1 In the exaiiii, PM] (fieuotes the probability of evei'it
EE 102
Probability and Statistics
in Electrical Engineering
MIDTERM I
FALL 2015
NAME: 50 , A A1] (2/)
Prob1em 1 25 
I
I
I
Notes:
0 Show your work for full/ partial credit
0 In the exam, P [A] denotes the probability of event A ha
EE 102
Probability and Statistics
in Electrical Engineering
MIDTERM
SPRING 2015
25 


Total
Notes:
0 Show your work for full/ partial credit
0 In the exam, P[A] denotes the probability of event A happening.
0 Show your work explicitly. EE102
Lecture 1
Probability
Event Theory
Random Variations & Stochastic Systems
1
Probability in Terms of Set Theory
Probability in terms of Set Theory:
Set Theory Jargon
Event Theory Jargon
Members , Elements, s1 , s2 ,
Sample Points, Outcomes, s1 , s2 ,
Set
5.1 Discrete Probability Distribution Models
A discretevalue random probability distribution has a set of distinct sample point separated by values that
cannot occur together with the likelihood of occurrence of each sample points. The set of sample poi
Lecture 1
Principle of
Counting
Random Variations & Stochastic Systems
1
Counting Principle
Counting at a glance:
Consider an
experiment:
Repetition
No Repetition
With
Replacement
n
Without
Replacement
k
n k 1
n
Ck
Random Variations & Stochastic Systems
Lecture 1
Conditional
Probability
Random Variations & Stochastic Systems
1
Probability in Terms of Set Theory
Conditional Probability:
s1 , s2 ,
P E1 E2
P E1 E2
P E2
Sample Space S
E1
E1
E2
Random Variations & Stochastic Systems
E2
2
Conditional prob
Lecture 2
Axioms of
Probability
Random Variations & Stochastic Systems
1
Definition
Probability is quantification of likelihood of an outcome occurs.
Axiom is selfevident truth.
Axiom is a statement accepted as true as the basis for argument
or infer
EE 102
Probability and Statistics in Electrical
Engineering
MIDTERM 1
SPRING 2014
NAME: :36 M3 ; @A
Problem 1 35
Problem 2 35
Problem 3 30
Total 100
Notes:
0 Show your work for full / partial credit
0 In the exam, P [A] denotes the pro