KING FAHD UNIVERSITY OF PETROLEUM & MINERALS

DEPARTMENT OF MATHEMATICAL SCIENCES

DHAHRAN, SAUDI ARABIA

STAT319: PROBABILITY & STATISTICS FOR ENGINEERS & SCIENTISTS

Course Outline, Semester 033

Instructor: Marwan Al-Momani                 Office: 4/104-6

Phone: 1734

E-mail: almomani@kfupm.edu.sa              Office Hours: SMW: 12:00-2:00

Text and Package: (1) Modern Engineering Statistics by Lawrence L. Lapin, Duxbury, 1997 (2) The Student Edition of STATISTICA, Lab manual is provided.

Course Objectives: Introducing basic concepts of probability and statistics to engineering students. Emphasis will be given on the understanding of the nature of randomness of real world phenomena, the formulation of statistical methods by using intuitive arguments and thereby making meaningful decisions.

Assessment

Assessment for this course will be based on home work, lab, attendance, quizzes, two major exams and a comprehensive final exam, as in the following:

 Activity Weight Quizzes, class works, home works and other 15% Exam 1 (Chapters 2 and 6) 10% Exam 2 (Chapters 7, 8 and 9) 20% Lab Reports and Lab Exam 15% Final Exam (Comprehensive) 40%

Note

Students will be required to carry a calculator with statistical functions.

Home work and Tutorial Problems

Students are encouraged to do the problems at home, and to hint and guide to solve problems.

Chapter Two:2-3, 2-5, 2-14, 2-16, 2-18, 2-25, 2-30, 2-39, 2-45

Chapter Six: 6-5, 6-15, 6-19, 6-20, 6-23

Chapter Seven: 7-7, 7-11, 7-13, 7-18, 7-29, 7-30, 7-35, 7-37

Chapter Eight: 8-1, 8-7, 8-12, 8-16, 8-27, 8-32, 8-41

Chapter Nine: 9-5, 9-11, 9-17, 9-25, 9-33, 9-35

Chapter Ten: 10-5, 10-9(a, b), 10-10(c, d), 10-16, 10-27, 10-33, 10-36, 10-40

Chapter Eleven:11-4, 11-7, 11-14, 11-20, 11-29, 11-32, 11-35, 11-44, 11-46

Chapter Four: 4-2, 4-10

Chapter Twelve: 12-8, 12-12, 12-14

Syllabus

 Date Topic Section 1 26/6- 30/6 Descriptive Statistics: Frequency distribution, histogram, stem and leaf, mean, median and mode, percentiles, quartiles, range, variance ,standard deviation and empirical rule Probability: Fundamental concepts, probability of simple and compound events 2.1-2.4 & 6.1-6.2 2 3/7  -  7/7 Conditional probability, multiplication law, probability trees, and sampling. Random variables: Discrete and continuous random variables, expected value and variance 6.3-6.4 & 7.1-7.2 3 10/7- 14/7 The binomial and normal distributions. Other probability distributions: Poisson, exponential, gamma, Weibull, lognormal, geometric and  hypergeometric distributions 7.3-7.4 & 8.1-8.5 4 17/7– 21/7 Sampling distribution of the mean, student t distribution, sampling distribution of the proportion and Chi-Square. Estimation: Estimators and point estimates, interval estimate of the mean and determining the sample size for estimating the mean 9.1-9.6 & 10.1-10.2 5 24/7- 28/7 Interval estimates of the proportion for case of large sample only, determining the sample size for estimating the proportion and intervals estimate of the variance. Intervals estimate for the difference between two means for the cases of independent and matched-pairs samples and interval estimate for the difference between two proportions. 10.3-10.5 6 31/7 -  4/8 Tests of hypotheses: basic concepts of hypothesis testing and method for testing the mean. Tests of hypotheses for the proportion. Tests of hypotheses for comparing two means for the cases of independent and matched-pairs samples and tests of hypotheses for comparing two proportions. 11.1-11.4 7 7/8 – 11/8 Simple linear regression, correlation and multiple linear regressions. Inferences in the linear regression. 4.1-4.3 & 12.1-12.3 8 14/8- 16/8 Review problems from chapters: 10, 11 and 12.