3 Hours/Week, 3 Credits

Sets and their properties: random experiment, sample space, events, union and intersection of events, different types of events, probability of events, axiomatic development of probability, computation of probability. Theorems of total probability and compound probability, conditional probability, independence of events, dependence and independence of trials, Bayes’ theorem, realization of m among n events. Solving probability problems. Random variables: definition, probability function, distribution function, joint, marginal and conditional probability functions. Mathematical expectation: expectation and variance of sum and product, conditional expectation and conditional variance, covariance and correlation, Chebyshev’s and Markov inequalities. Solving problems using binomial, Poisson, exponential, normal, negative binomial and multinomial distribution.