PROBABILITY AND STATISTICS [SH 552]
Course Objective:
To provide students practical knowledge of the principles and concept of probabilityand statistics and their application in engineering field.
- Descriptive statistics and Basic probability (6 hours)
- Introduction to statistics and its importance in engineering
- Describing data with graphs (bar, pie, line diagram, box plot)
- Describing data with numerical measure (Measuring center, measuring variability)
- Basic probability, additive Law, Multiplicative law, Baye's theorem.
- Discrete Probability Distributions (6 hours)
- Discrete random variable
- Binomial Probability distribution
- Negative Binomial distribution
- Poison distribution
- Hyper geometric distribution
- Continuous Probability Distributions (6 hours)
- Continuous random variable and probability densities
- Normal distribution
- Gama distribution
- Chi square distribution
- Sampling Distribution (5 hours)
- Population and sample
- Central limit theorem
- Sampling distribution of sample mean
- Sampling distribution of sampling proportion
- Inference Concerning Mean (6 hours)
- Point estimation and interval estimation
- Test of Hypothesis
- Hypothesis test concerning One mean
- Hypothesis test concerning two mean
- One way ANOVA
- Inference concerning Proportion (6 hours)
- Estimation of Proportions
- Hypothesis concerning one proportion
- Hypothesis concerning two proportion
- Chi square test of Independence
- Correlation and Regression (6 hours)
- Correlation
- Least square method
- An analysis of variance of Linear Regression model
- Inference concerning Least square method
- Multiple correlation and regression
- Application of computer on statistical data computing (4 hours)
- Application of computer in computing statistical problem. eq scientific calculator, EXCEL, SPSS , Matlabetc
References:
- Richard A. Johnson, "Probability and Statistics for Engineers", Miller and Freund's publication.
- Jay L. Devore, "Probability and Statistics for Engineering and the Sciences",Brooks/Cole publishing Company, Monterey, California.
- Richard I. Levin, David S Rubin, “Statisticsfor Management", PrenticeHallpublication.
- Mendenhall Beaver Beaver, “Introduction Probability and statistics ", ThomsonBrooks/Cole.
Evaluation scheme
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Unit |
Chapter |
Topics |
Marks |
1 |
1 |
All |
16 |
2 |
2.1 to 2.2 |
2 |
2 |
2.3 & 2.5 |
16 |
3 |
All |
3 |
4 & 5 |
All |
16 |
4 |
6 |
All |
16 |
7 |
7.1 and 7.5 |
5 |
7 |
7.2 to 7.4 |
16 |
8 |
All |
Total |
80 |
*Note: There may be minor deviation in marks distribution
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