This course is an introduction to Probability and Statistics. The students will be able to understand and to use the basic concepts in probability: sample space, events and their probabilities, fundamental principle of counting, the conditional probability and Bayes rule, the concept random variables, probability distributions (discrete, continuous and conditional distributions), mathematical expectation and variance, some famous discrete and continuous probability distributions focusing on the normal distribution. The students will be able to apply the concept of conditional probability while studying discrete Markov chains. The students will be then, introduced to the basic concepts in statistics and various methods of representation, displaying and describing data and some numerical measures. Finally, the students will be introduced to inference statistics by studying the Central limit theorem, sampling distributions and estimation of some population’s parameters.
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