To gain the students the ability of expressing the basic concepts in statistical reliability in terms of mathematical expressions, distinguishing the probability distribution functions and density functions , comprehending the concepts related to hypothesis tests, the properties of the estimators, the basic principles concerning the theory of estimation, the transformations related with the functions of random variables , basic limit theorems and applying analysis of variance.

Simple probability calculations, Random variable, sample space, probability distributions, distribution function, discrete and continuous functions, definitions and examples of probability density functions, Joint probability distributions, distribution and density functions, Marginal distribution and conditional functions, Concept of mathematical expectation, Concept of moment and usage of moment generating function, Limit theorems, Special probability distribution functions, Special probability density functions, Functions of random variables and transition techniques, Basic concepts related to estimation and properties of estimators, Basic concepts related to hypothesis testing and applications, Applications of analysis of variance.