(MA05476) PROBABILITY AND STATISTICS

UNIT-I
Probability: Sample space and events – Probability – The axioms of probability -
Some elementary theorems - Conditional probability – Baye’s theorem.
UNIT-II
Random variables – Discrete and continuous – Distribution – Distribution function.
UNIT-III
Distribution - Binomial, Poisson and Normal distribution – related properties.
UNIT-IV
Sampling distribution: Populations and samples - Sampling distributions of mean
(known and unknown) proportions, sums and differences.
UNIT-V
Estimation: Point estimation – interval estimation - Bayesian estimation.
UNIT-VI
Test of Hypothesis – Means and proportions – Hypothesis concerning one and two
means – Type I and Type II errors. One tail, two-tail tests.
UNIT-VII
Tests of significance – Student’s t-test, F-test, test. Estimation of proportions.
UNIT –VIII
Curve fitting: The method of least squares – Inferences based on the least squares
estimations - Curvilinear regression – multiple regressions – correlation for univariate
and bivariate distributions.
TEXT BOOKS:
1. Engineering Mathematics-B.V. Ramana, Tata Mc Grill 2002 2nd
Edition.
2. Mont Gomany-Design of Experiments- Wiley Publications.
REFERENCES:
1. Fundamentals of mathematical statistics-S.C.Gupta V.K.Kapur Chand
Publications.
2. Probability and Statistics for Engineers. Miller and Trend Kreyszig. Prentice
HALL of India 5th edition.
3. Schaum Outline’s Series Theory and problems of probability and statistics-
Murray R. Spiegel.
4. Fundamental concepts of design of experiments- Hricks Oxford Publications.