UNIT-I: Introduction of Probability, Conditional probability, Theorem of Total probability, Baye’s
Theorem and its applications, Random variables, Types of random variables, Probability mass
function and Probability density function, Mathematical expectations.
UNIT-II: Discrete probability distributions: Binomial and Poisson distributions, Mean, variance,
moment generating function and evaluation of statistical parameters for these distributions,
Moments, Skewness and Kurtosis.
UNIT-III: Continuous probability distributions, Uniform, Exponential and Normal distributions,
Mean, variance, moment generating function and evaluation of statistical parameters for these
distributions
UNIT-IV: Curve fitting by the method of least squares: Fitting of straight lines, second degree
parabolas and more general curves, Correlation, regression and Rank correlation. Test of
significance: Large sample test for single proportion, difference of proportions, single mean,
difference of means, and difference of standard deviations.
UNIT-V: Test for single mean, difference of means and correlation coefficients, test for ratio of
variances, Chi-square test for goodness of fit and independence of attributes.
Suggested Readings:
1. R.K.Jain & Iyengar, “Advanced Engineering Mathematics”, Narosa Publications.
2. B.S. Grewal, “Higher Engineering Mathematics”, Khanna Publishers, 2000.
3. P.Sivaramakrishna Das & C.Vijaya Kumar, “Engineering Mathematics” , Pearson India
Education Services Pvt. Ltd.
4. N.P. Bali & M. Goyal, “A Text Book of Engineering Mathematics”, Laxmi Publications,
2010.
5. S.C.Gupta & V.K.Kapoor, “Fundamentals of Mathematical Statistics” , S.Chand Pub.
6. P. G. Hoel, S. C. Port & C. J. Stone, “Introduction to Probability Theory”, Universal Book
Stall, 2003.
7. W. Feller, “An Introduction to Probability Theory and its Applications”, Vol. 1, Wiley,
1968.
