INM241

Industrial Probability & Estimations

Course ID
INM241
Department
Industrial Engineering & Management
Level
Undergraduate
Instructor
Engr. Hafiz Karim Bux Indhar
Semester
4th Semester
Credit
3.0 + 1.0

After completion of this course each student would be able to:

  • SUMMARISE the main features of a data set (descriptive data analysis)
  • REVIEW the basic principles of probability including the Laws and use these principles in problem solving situations.
  • ANALYZE statistical hypotheses.

The Industrial Probability & Estimations is a compulsory course and has been offered by the Department of Industrial Engineering and Management.

Course Learning Outcomes

CLOs

Description

Taxonomy

Level

PLO

1

SUMMARISE the main features of a data set (descriptive data analysis)

C2

2

2

REVIEW the basic principles of probability including the Laws and use these principles in problem solving situations.

C2

2

3

ANALYZE statistical hypotheses.

C4

4

Practical/Lab work

 

CLO

Description

Taxonomy Level

PLO

1

ADOPT general and specific safety guidelines during lab work.

A3

6

2

PERFORM the different analysis related to probability & estimations.

P4

5

3

CONDUCT open-ended lab work within the scope of industrial probability & estimations.

P4

12

4

RESPOND to different situations related to subject and must express opinion regarding a problem.

A2

4

Course structure and modules

Course Contents:        

  • Fundamental of Probability:

Introduction to Descriptive and inferential statistics, Counting techniques, dependent and independent events, conditional probability, Additive rules of Probability. Contingency tables, joint and marginal probabilities, the multiplication rule, Bayes’s theorem.

  • Central Tendency and Dispersion Measures

Introduction to central tendency and dispersion, Grouped data, Un-grouped data, Types of averages, Importance of measure of dispersion, classification of measure of dispersion.

  • Probability Distribution:

Concept of Random variables, Discrete and continuous probability distribution, Mean and variance of a random variable. Binomial and Poisson distributions, mean and variance of Binomial and Poisson distribution, Normal distribution, Standard normal distribution and inverse use of table of areas under normal curve.

  • Sampling Distribution:

Methods of Sampling, Sampling distribution of means with and without replacement, central limit theorem.

  • Theory of Estimation:

Types of estimations, estimating confidence interval of one population mean, estimating the difference between two population means, chi-square distribution.

  • Tests of Hypothesis:

Testing a statistical hypothesis, types I & II error, one tailed and two tailed tests. Test concerning means and variances, testing the difference between two means, Good-ness of fit test.

  • Regression and Correlation Analysis:

Concept of regression and correlation, Types of Correlation, Co-efficient of correlation, Co-efficient of determination, Simple and multiple regression, Simple regression analysis.

Note:    Labs will be based on Theory

Recommended Books

  • Statistics for Management by Richard I. Levin & David S. Rubin, Prentice Hall, New Delhi: Latest Edition
  • Comprehensive Statistical Methods by P N Arora, Sumeet Arora & S Arora._ S.Chand, New Delhi: Latest Edition 
  • Probability, Statistics & Reliability for Engineers by Bilal M. Ayyub & Richard H. Mc Cuen CRC Press, Boca Raton Latest Edition 
  • The Text Book of Statics for Engineers by BicharaB.Muydi, Springer, Latest Edition