Course No:           ACT 312

Course Name:      Probability & Probability Distributions

Course Description:      

Probability: Definition classical and statistical, set approach. Simple laws of probability. Combinatorial problems. Conditional probability. Problems on conditional probability, Statistical independence; pair wise and mutual

Probability Distributions: Random Variables, Mathematical Expectations of Random variables & calculation of Moments. Probability mass functions. Discrete probability Distributions. Binomial, Poisson, Geometric, Hyper-geometric Distributions, Trinomial, and Multinomial distribution. Negative Binomial distribution. Derivation of above distributions, their properties and calculation of ß1 and ß2.

Interpolation: Interpolation by graph: Newton's forward and backward formula. Newton's divided difference formula. Lagrange’s formula, inverse interpolation. Central difference formula (Gauss, Stirlings, Bessel)

Course Review:

The course is an introduction to probability and probability distributions. Topics include laws of probability, combinatorial problems, conditional probability, statistical inference, random variables, probability mass functions, discrete probability distributions (Binomial, Poisson, Geometric, Hypergeometric, Trinomial and Multinomial distributions), derivatives and properties of said distributions and interpolation by different methods.