 Future University is one of most promising private universities in Egypt. Through excellence in teaching, research and service, Future University strives to provide a comprehensive, high-quality education that prepares our graduates to be future leaders. 90th Street
New Cairo
Egypt

# Course List   ## Probability and Statistics (Math 6)

• Course Code :
MTH 312
• Level :
Undergraduate
• Course Hours :
3.00 Hours
• Department :
Department of Mechanical Engineering

## Area of Study :

This course aims to develop the students’ confidence and skills in dealing with mathematical expressions of statistical Science, to improve their understanding of the concepts of statistical studies and to perform descriptive and basic inferential statistical studies. The course gives the students the ability to understand the inference techniques for the inferential statistical studies within the areas of interest.

## Probability and Statistics (Math 6)

Descriptive statistics and data analysis, Introduction to probability theory, conditional probability, Bayes theorem, Random variables and probability distribution, Discrete and continuous random variables, Mathematical expectation of random variables and some special expectation, Some discrete probability distribution (Binomial and poisson). Some continuous distribution (Normal distribution, t- distribution), Introduction to estimation and tests of hypothesis. Correlation analysis, applied statistics.

## a. Knowledge and Understanding:

 1- Recognize the fundamental features of the probability theory, and other statistical topics. 2- Distinguish the meaning of conditional probability and its application 3- Describe random variables, discrete and continuous distributions. 4- Define samples and population measures (point and interval estimate).

## b. Intellectual Skills:

 1- Summarize Statistical concepts essential and necessary for applications in Mechanical engineering problems 2- Think logically and creatively. 3- Analyze the appropriate method for the solutions of statistical engineering problems using convenient methods.

## Course topics and contents:

Topic No. of hours Lecture Tutorial/Practical
Descriptive statistics and data analysis. Definitions and concepts. 10 6 4
Random variables and probability distribution: Discrete and continuous random variables 10 6 4
Random Variables and Probability Distribution 10 6 4
Mathematical expectation of random variables and some special expectation 10 6 4
Some discrete probability distribution (Binomial and Poisson). 10 6 4
Some continuous distribution (Normal distribution). 10 6 4
Introduction to the estimation and tests of hypothesis. 10 6 4
Correlation analysis. 5 3 2

## Teaching And Learning Methodologies:

Teaching and learning methods
Interactive Lecturing
Problem solving
Discussion

## Course Assessment :

Methods of assessment Relative weight % Week No. Assess What
Participation 10.00 To assess understanding and problem solving skills
Assignments 5.00 To assess lecture material comprehension
Final exam 40.00 16
First Exam 20.00 5 To assess understanding and problem solving skills
Quizzes 5.00 To assess material comprehension & self study.
Second Exam 20.00 10 To assess understanding and problem solving skills

## Books:

Book Author Publisher
Elementary Statistcs a Step by Step Apporoach A. G. Bluman McGraw Hill

## Recommended books :

 Ronald E. Walpole, Raymond H. Myers, and Sharon L. Myers. “Probability & Statistics for Engineers & Scientists’, 9th ed., Pearson Education, Inc. 2012.  Douglas C. Montgomery,‎ George C. Ringer. “Applied Statistics and Probability for Engineers”, 6th Edition. John Wiley & Sons, Inc. 2013.

## Web Sites :

o www.stattrek.com o www.statistics.com o www.sosmath.com o www.math.hmc.edu o www.tutorial.math.lamar.edu o www.web.mit.edu