Engineering Probability And Statistics
Course Content and Outline
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
Statistics Averages, Median Mode, Quartiles, Range,
Moments, Skewness & Kurtosis, Quartile Deviation, Mean Deviation, Standard
Deviation, Variance & its coefficient, Practical Significance in related
Curve Fitting: (5
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
Simple Regression & Correlation: (5
Introduction, Scatter diagrams, Correlation & its
Coefficient, Regression lines, Rank Correlation & its Coefficient, Probable
Error (P.E), Related problems.
Sampling and Sampling Distributions: (5
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
Introduction, Estimation, Types of Estimates,
Confidence interval, Tests of Hypothesis, Chi-Square distribution/test, one
tails & two tails tests. Application in related Engineering problems.
Basic concepts, Permutation & Combination,
Definitions of probability, Laws of probability, Conditional probability,
Baye’s rule.Related problems in practical significance.
Random Variables: (5
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
Probability Distributions: (5
Introduction, Discrete probability distributions,
Binomial, Poisson, Hyper geometric & Negative binomial distributions.
Continuous probability distribution, Uniform,
Exponential & Normal distributions & their practical significance.
MODE OF DELIVERY
MATERIALS AND / OR EQUIPMENT
Whiteboard and Markers
CDs, DVDs and Tapes