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
Lecture 2
Axioms of
Probability
Random Variations & Stochastic Systems
1
Definition
Probability is quantification of likelihood of an outcome occurs.
Axiom is self-evident truth.
Axiom is a statement accepted as true as the basis for argument
or infer
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 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
5.1 Discrete Probability Distribution Models
A discrete-value 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
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