R18 B.TECH CIVIL ENGG.
MA304BS: PROBABILITY AND STATISTICS
B.Tech. II Year I Sem. L T/P/D C
3 1/0/0 4

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Pre-requisites: Mathematical Knowledge at pre-university level

Course Objectives: To learn

• The ideas of probability and random variables and various discrete and continuous probability distributions and their properties.
• The basic ideas of statistics including measures of central tendency, correlation and regression.
• The statistical methods of studying data samples.

Course outcomes: After learning the contents of this paper the student must be able to

• Formulate and solve problems involving random variables and apply statistical methods for analysing experimental data.

UNIT - I: Basic Probability 8 L

Probability spaces, conditional probability, independent events, and Bayes’ theorem. 

Random variables: Discrete and continuous random variables, Expectation of Random Variables, Moments, Variance of random variables, Chebyshev's Inequality

UNIT - II: Discrete Probability distributions 10L

Binomial, Poisson, evaluation of statistical parameters for these distributions, Poisson approximation to the binomial distribution

UNIT - III: Continuous Random variable & Distributions 10L

Continuous random variables and their properties, distribution functions and densities, Normal, exponential and gamma distributions, evaluation of statistical parameters for these distributions

UNIT - IV: Applied Statistics 10L

Curve fitting by the method of least squares- fitting of straight lines, second degree parabolas and more general curves; Correlation and regression – Rank correlation.

UNIT - V: Testing of Hypothesis 10L

Test of significance: Large sample test for single proportion, difference of proportions, single mean, difference of means; Test for single mean, difference of means for small samples, test for ratio of variances for small samples.

TEXT BOOKS:

1. Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, keying Ye, Probability and statistics for engineers and scientists, 9th Edition, Pearson Publications.
2. Fundamentals of Mathematical Statistics, Khanna Publications, S C Guptha and V.K. Kapoor.

REFERENCES:

1. Miller and Freund’s, Probability and Statistics for Engineers, 8th Edition, Pearson Educations
2. S. Ross, A First Course in Probability, 6th Ed., Pearson Education India, 2002.