Probability- Axioms of Probability, Conditional probability, Baye's theorem, Discrete and Continuous random variables, Distribution function of random variable and its Properties , Probability mass function , Probability density function , Mathematical expectation and its Properties , Mean and Variance .

Binomial Distribution, Mean and standard deviation of binomial distribution, Poisson distribution, Mean and Standard Deviations , Normal Distribution,Mean, Variance and area properties.

Populations and Samples, The Sampling Distribution of the Mean ( Known), The Sampling Distribution of the Mean ( Unknown), The Sampling Distribution of the Variance, Point Estimation, Interval Estimation, Bayesian Estimation, Tests of Hypotheses, Null Hypotheses and Significance Tests, Hypotheses Concerning One Mean, Operating Characteristic Curves, Hypotheses Concerning Two Means, The Estimation of Variances, Hypotheses Concerning One Variance, Hypotheses Concerning Two Variances.

Student's t - test, test for ratio of variance (or) F - test, Chi - square test for Goodness of fit and independence of attributes, The method of least squares-fitting a straight-line, second-degree parabolas and more general curves , Curvilinear Regression, Multiple Regressions, Correlation.

Analysis of variance, one way classification, two way classification, Completely Randomized Designs, Reliability - Failure - Time Distributions, The exponential Model Reliability, The Weibull Model in Life Testing.