General description
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.