EM2020 Probability and Statistics

Concepts of probability: Discrete and continuous random variables, probability distributions, mean, expectation and variance, moment generating functions Discrete probability distributions: Bernoulli (Point binomial) Distribution, Binomial distribution, Poisson distribution, geometric distribution, Hypergeometric distribution. Continuous probability distributions: Uniform distribution, exponential distribution, normal distribution, Student-t distribution, Weibull distribution and Chi-squared distribution. Sampling distributions: The central limit theorem and normal approximation to the binomial distribution, sampling distribution of sample mean and sample variance. Estimation and Confidence Intervals: Estimation and calculation of Confidence Intervals for mean, difference of means and variance.