20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
Probability and Statistic Syllabus
I. Overview
a. Section 1: Probability
oFundamental concept of Probability
b. Section 2: Statistic
II. Math review
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
III.
Probability
a. Fundamental concept of Probability
b. Randomness
oThe term randomness suggest unpredictability
oExample: Toss a coin, it can randomly be
Head (H)
Tail (T)
c. Probability
oUsed to quantify this measure of doubt
oImportant Definition:
Random Experiment: Process leading to an uncertain
outcome
Basic Outcome: a possible outcome of a random experiment
Sample Space: Collection of all possible outcome of a
random experiment
Event: Any subset of basic outcome from the sample space
Intersection of events:
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
Mutually exclusive Event:
Union of event:
Complement of event: Complement of A is all posibility that
isn’t A
oProbability: Chance that an certain event will occur [P(a)]
0 <= P(A) <= 1
P(Ø) = 0 ; P(S) = 1
Probability of 1 happens for events that will occur 100% of
the time
Probability of 0 happens for events that will never occur
The sum of all simple events = 1
P(E1) + P(E ) + ... + P(E ) = 12 n
d. Assessing Probability
oCombination fomula
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
oRelative frequency probability
oSubject probability: An individual opinion or belief about the probability
of occurence
oProbability of a sum:
oConditional Probability: P(A|B) Possibility of A when B occur
oIndependent event: Event that do not effected by other events
oDependent event:
20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu

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20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
Probability and Statistic Syllabus I. Overview a. Section 1: Probability
oFundamental concept of Probability b. Section 2: Statistic II. Math review 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu III. Probability
a. Fundamental concept of Probability b. Randomness
oThe term randomness suggest unpredictability
oExample: Toss a coin, it can randomly be Head (H) Tail (T) c. Probability
oUsed to quantify this measure of doubt oImportant Definition:
Random Experiment: Process leading to an uncertain outcome
Basic Outcome: a possible outcome of a random experiment
Sample Space: Collection of all possible outcome of a random experiment
Event: Any subset of basic outcome from the sample space Intersection of events: 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu Mutually exclusive Event: Union of event:
Complement of event: Complement of A is all posibility that isn’t A
oProbability: Chance that an certain event will occur [P(a)] 0 <= P(A) <= 1 P(Ø) = 0 ; P(S) = 1
Probability of 1 happens for events that will occur 100% of the time
Probability of 0 happens for events that will never occur
The sum of all simple events = 1 P(E1) + P(E ) + ... + P(E 2 ) = 1 n d. Assessing Probability oCombination fomula 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu
oRelative frequency probability
oSubject probability: An individual opinion or belief about the probability of occurence oProbability of a sum:
oConditional Probability: P(A|B) Possibility of A when B occur
oIndependent event: Event that do not effected by other events oDependent event: 20:01, 27/01/2026
Probability and Statistics Syllabus Overview and Concepts - Studocu