## Description

Notion of Probability, Conditional Probability and independence, Bayes’ Theorem.

** Random Variables : **Concept, probability density function, cumulative distribution function, discrete and continuous random variables, expectations, mean, variance, moment generating function, skewness and kurtosis.

** Discrete Random Variables : **Bernoulli random variable, binomial random variable, negative binomial random variable, geometric random variable, Poisson random variable.

** Continuous Random Variables : **Uniform random variable, exponential random variable, Beta random variable, Gamma random variable, Chi-square random variable, normal random variable.

** Bivariate Random Variables : **Joint distribution, joint and conditional distributions, Conditional Expectations, Independent random variables, the correlation coefficient, Bivariate normal distribution.