Probability and Statistics for Engineers

Basic concepts of probability (sample spaces and events, permutations, combinations, conditional probability and independence). Discrete and continuous random variables, their probability distributions, expected value and distribution parameters. Discrete probability distributions: Binomial, geometric, negative binomial, Poisson distributions. Continuous probability distributions: uniform, normal, exponential, gamma and chi-squared distributions. Jointly distributed and independent Random Variables. Covariance and correlation. The sampling distribution of sample mean. Central Limit Theorem and its applications. Estimation. Confidence Intervals, Hypothesis Testing.