course structure - DSpace at CUSAT

E3 - Applied Probability and Statistics
Unit 1: Basic Statistics: Collection, tabulation and presentation of data, measure of
central tendency, dispersion, correlation, association and grouping of data.
Unit 2: Probability: Sample space and events, Axioms of Probability, Additive theorem,
Independence and Multiplicative theorem, Conditional Probability and Baye’s theorem,
Random experiments, Discrete and continuous random variables, Distribution function,
Mean, Variance and moment generating function.
Probability Distributions: Genesis and basic properties of Binomial, Poisson, Geometric,
Uniform, Exponential and Normal distributions.
Unit 3: Sampling Distributions: Population and Samples, Simple random sampling with
and without replacement. Sampling distribution of sample mean when variance is known
and unknown, Chi-Square-, Student’s-t- and F- distributions.
Estimation: Properties of estimates, Methods of estimation – method of maximum
likelihood, method of moments and method of least squares. Illustration for each case.
Unit 4: Interval estimation: Confidence interval for the mean of normal distribution
when the variance is known and unknown, Two-sample confidence interval for normal
population, Confidence interval for the proportions.
Testing of Hypothesis: Simple and composite hypotheses, Type I and Type II errors,
power of a test, Tests of hypotheses on single sample, two-sample, proportions, Chisquare
test of goodness of fit and independence.
Unit 5: Regression Analysis: Simple linear regression, estimation of parameters in a
linear regression model, measuring the adequacy of the regression model, One-way
analysis of variance.
Text Books:
1. Hines, W.W, Montgomery, D.C, Goldman, D. M. & Borror, C.M, ‘Probability
and Statistics in Engineering’. 4/e. 2003, John Wiley & Sons.
2. Walpole, R. E., Myers, R. H., Myers S L & Keying Ye, ‘Probability and Statistics
for Engineers and Scientists’. 8/e, 2007, Pearson Education
References:
1. Gupta, S C and Kapur, V K, ‘Fundamentals of Mathematical Statistics’,
Sultan Chand and Co.
2. Erwin Miller and John E.Freund, ‘Probability and statistics for engineers’
Prentice-Hall of India / Pearson , 7 th Ed.
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