JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

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

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

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

UNIT - III: Continuous Random variable & Distributions

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

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

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. R18 B.TECH CIVIL ENGG.