Introduction to Statistics & Probability 2 Code 104 ريض CREDIT HOURS: 4 UNIT Lecture 3.0 hours/week Tutorial 1.0 hour/on every week a.This course introduces.

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Presentation transcript:

Introduction to Statistics & Probability 2 Code 104 ريض CREDIT HOURS: 4 UNIT Lecture 3.0 hours/week Tutorial 1.0 hour/on every week a.This course introduces the students to the concept of probability and random variables b.Also deals with the conditional probability c.The course also looks into probability distribution of some discrete and continuous variables..

Learning Objectives:  Identify the role of probability in our life by learning the principal and rules of probability, conditional probability, independent events and Bayes Theorem.  Demonstrate understanding discrete and continuous probability distributions  References:  H.Hsu, 2 nd Edition “Probability, Random Variables, Random Processes”, Schaum’s Outline Series, McGraw Hill, 2011  Statistics and probability Dr Anies Ismaaeil Kinjo 2 nd Edition King Saud University 2

3 Starting From Week 2 Sunday[10:00 – 12:00]-[1-2] ( h) – LEC. 3[ H] Monday1:00 – 2:00 ( h) – Tutorial 1 [H] ASSESSMENTS MidTerm 1 (15%) MidTerm 2 (15%) Internal Assessment(10%) FINAL EXAM (60 %) Question 1 Question 2 Question 3 Question 4 Question 5

9/4/1435 h Sunday Lecture 1 4/1435 h 4

Q:Define the following 1. Probability Probability refers to the study of randomness and uncertainty. 2. Random Variable numerical measurements or observations that have uncertain variability each time they are repeated are called random variables 5 4/1435 h

. 3. Distribution the term “distribution” refers to how probability is spread out. 4. Random Process any process whose possible results are known but actual results cannot be predicted with certainty in advance. 5. Experiment: process by which an observation or measurement is obtained (yield outcomes) 6 4/1435 h

. 6. Outcome : each possible result for a random process 7. Sample Space: Is the set of all possible outcomes of an experiment. denoted by S, 8. Event : Is any collection (subset) of outcomes contained in the sample space S. Jan

Types of events Q: Mention and define types of events? 1. simple An event is if it consists of exactly one outcome 2. Compound An event that consists of more than one outcome. 3. Null event: An event with no outcomes (= impossible event, empty set). 4/1435 h 8