Courses Catalogue

Engineering Probability And Statistics

COURSE CODE: MAT1204
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Civil Engineering, Bsc
COLLEGE/SCHOOL/FACULTY: School of Engineering and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

Statistics:                                                                                                                  (5 HOURS)

Introduction, Types of data & variables, presentation to data, object, classifications, Tabulation, Frequency distribution, Graphical representation, Simple & Multiple Bar diagrams, Sartorial & Pie-Diagram, Histogram, Frequency Polygon, Frequency Curves & their types.

Measures of Central Tendency and Dispersion:                                                (5 HOURS)

Statistics Averages, Median Mode, Quartiles, Range, Moments, Skewness & Kurtosis, Quartile Deviation, Mean Deviation, Standard Deviation, Variance & its coefficient, Practical Significance in related problems.

Curve Fitting:                                                                                                          (5 HOURS)

Introduction, fitting of a first and second degree curve, fitting of exponential and logarithmic curves, related problems. Principle of least squares, Second order Statistics & Time series not in detail.

Simple Regression & Correlation:                                                                       (5 HOURS)

Introduction, Scatter diagrams, Correlation & its Coefficient, Regression lines, Rank Correlation & its Coefficient, Probable Error (P.E), Related problems.

Sampling and Sampling Distributions:                                                               (5 HOURS)

Introduction, Population, Parameter & Statistic, Objects of sampling, Sampling distribution of Mean, Standard errors, Sampling & Non-Sampling Errors, Random Sampling, Sampling with & without replacement, Sequential Sampling, Central limit theorem with practical significance in related problems.

Statistical Inference and Testing Of Hypothesis:                                              (5 HOURS)

Introduction, Estimation, Types of Estimates, Confidence interval, Tests of Hypothesis, Chi-Square distribution/test, one tails & two tails tests. Application in related Engineering problems.

Probability:                                                                                                              (5 HOURS)

Basic concepts, Permutation & Combination, Definitions of probability, Laws of probability, Conditional probability, Baye’s rule.Related problems in practical significance.

Random Variables:                                                                                                 (5 HOURS)

Introduction, Discrete & Continuous random variables, Random Sequences and transformations, Probability distribution, Probability density function, Distribution function, Mathematical expectations, Moment Generating Function (M.G.F.), Markove random walks chain/ related problems.

Probability Distributions:                                                                                      (5 HOURS)

Introduction, Discrete probability distributions, Binomial, Poisson, Hyper geometric & Negative binomial distributions.

Continuous probability distribution, Uniform, Exponential & Normal distributions & their practical significance.

 

MODE OF DELIVERY

·        Lectures

·        Reading assignments

·        Practical assignments

 

INSTRUCTIONAL MATERIALS AND / OR EQUIPMENT

·        Whiteboard and Markers

·        Flip Charts

·        LCD Projectors

·        CDs, DVDs and Tapes