Stat 324: Statistics and Probability for Engineers

This course aims at providing students with an introduction to statistics and probabilities. Students begin to learn about the mathematical meaning of probability, how to calculate probability through different examples, as well as the concept of conditional probability, and event independence. And then to the concept of random variables and types of probability distributions, and the method of calculating the expectation and variance of the random variable in addition to linear functions in random variables. Students are introduced to examples of known and commonly used probability distributions, both for discrte and continuous random variables.  Sampling distributions are then discussed, where we study the sampling distributions of means, difference of two means, proportions, and the difference of two proportions. In the last part of the course we introduce the concept of inferential  statistics, in an attempt to generalize the results obtained from the sample to the population. In this section, we will examine the methods of estimation for the mean of a population, and for the difference of two means (both in case the population variance is known or unknown). We will also address the estimation of the proportion of the population, and the difference between the two proportions. In addition to estimation the previous parameters, we will also test hypotheses about them.

This course is taught to students of: College of Engineering, College of Computer Science, College of Architecture and planning
First Semester 1438/1439 H

Section 1850: Lecture times Sunday, Tuesday 8:00 - 9:00 AM at 1A96,  building 4
Section 43637: Lecture times Sunday, Tuesday 9:00 - 10:00 AM at AB80/3,  building 4

 Office Hours: Sunday, Tuesday 10:00-12:00 AM                   

Catalog Description       

Week	Sections	Subjects
(W1 ( 26 /12/1438	1.1, 1.3, 1.4	Introduction to Statistics & Data Analysis
(W2 ( 04/01/1439	2.1, 2.2, 2.3, 2.4 2.5	Sample Space, Events, Counting Sample Points (only Theorem 2.8), Probability of an Event, Additive Rules
(W3 (11/01/1439	2.6, 2.7, 2.8	Conditional Probability, Independent Events, Multiplicative Rules, Bayes’ Rule
(W4 (18/01/1439	3.1, 3.2,3.3	Concept of Random Variable, Discrete Probability Distributions, Continuous Probability Distributions
(W5 (25/01/ 1439	4.1, 4.2, 4.3, 4.4	Mean of a Random Variable, Variance, Means & Variances of a Linear Combination of Random Variables (for independent variables), Chebyshev’s Theorem
(W6 (02/02/1439	5.2, 5.3, 5.4, 5.6	Discrete Uniform Distribution, Binomial Distribution, Hypergeometric Distribution, Poisson Distribution
(W7  (09/02/1439	6.1, 6.2, 6.3 6.4	Continuous Uniform Distribution, Normal Distribution, Areas Under the Normal Curve, Applications of the Normal Distribution
The First Term Exam at Tuesday ( 11/02/1439) from 7-8:30 pm (Till Chebyshev’s Theorem sec 4.4 is included)
(W8 ( 6/02/1439	6.6, 8.1, 8.2	Exponential Distribution, Random Sampling
(W9 ( 23/02/1439	6.6, 8.1, 8.2	Exponential Distribution, Random Sampling
(W10 (01/03/1439	8.4, 8.5, 8.7	Sampling Distributions, Sampling Distribution of Means, t-Distribution
(W11 (08/03/1439	9.1, 9.2, 9.4, 9.5	Introduction to Estimation, Statistical Inference, Estimating the Mean, Standard Error
(W12 (15/03/1439	9.1, 9.2, 9.4, 9.5	Introduction to Estimation, Statistical Inference, Estimating the Mean, Standard Error
The Second Term Exam at Sunday ( 15/03/1439) from 7-8:30 pm (Till Sampling Distributions sec 8.7 is included)
(W13(22/03/1439	9.7, 9.9, 9.10	Estimating the Difference Between Two Means, Estimating a Proportion, Estimating the Difference between Two Proportions
(W14(29/03/1439	10.1, 10.2	Statistical Hypotheses, Testing a Statistical Hypothesis
(W15 (06/04/1439	10.3, 10.5, 10.7 10.8—10.12	One- and Two-Tailed Tests, Tests Concerning a Single Mean, Tests on a Single Mean when variance is unknown and Tests on Two Means, Test on a Single Proportion, Test on two Proportions

  Textbook Walpole, R. E.; Myers, R. H. and Myers, S. L., Probability and Statistics for Engineers and Scientists, 7th ed. Prentice Hall, 1998.

Grading:  Please note that we have announce in clear Cut way for all students from the beginning

Participation, Quizes & Home works: 0%      

Midterm I   30% (up to the end of chapter 4) Midterm II 30% (Chapters 5, 6 and 8)

(Final Exam        40% (Chapters 9, and 10)

 

Homework and exam policy

Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the instructor, or anyone else. There is one restriction: you must write, type, or otherwise record your answers yourself, alone, so that your homework reflects your understanding. No late homework or make-up exams without prior approval; penalties may apply.

 Preliminary Course Outline: We will cover the book by Walpole, Chapters 1–10 except chapter 7