MAT 2379 Lecture Notes - Lecture 1: Single-Nucleotide Polymorphism, Dna Microarray, Jacob Bernoulli

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Probability theory, statistics, and data mining software (namely, r) form three constituents of our course, and we will start our discussion with probability. Probability theory is a mathematical framework for dealing with the phenomenon of uncertainty, or randomness. Randomness is inherently present in sciences - either because there are too many factors that a ect the outcome of a given process, or even because randomness is instrinsically present in it. Probability theory was developed in the xvii century and is linked to the names of huygens, pascale, fermat, and afterwards laplace, jacob bernoulli, gauss, and, in the xx century, kolmogorov and others. The origins of probability were not quite so honorable: the aim was the analysis of games of chance. Hence, tossing a coin or a dice still remain among the most common examples illustrating the theory. We will be dealing with random exper- iments and their outcomes.

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