ROCHESTER ECE 270 - Lecture Notes - Introduction to Probability

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 Deterministic Models  The models predict that the experiment generates the same outcome, when the experiment is repeated under the same condition.  The solution of a set of equation determines the experiment outcome.  Circuit theory (Kirchhoff’s voltage and current laws, Ohm’s law) is an example of deterministic models.  Note: in practice the observations vary due to measurement errors and uncontrolled factors, but the model predictions remain the same.  Probability Models  The models predict that the experiment outcome varies when the experiment is repeated under the same condition (so called random experiment). The set of all possible outcomes is sample space S.  Communications theory is an example of probability models.• The most frequent number of active speakers is 16. • The number of active speakers is rarely above 24. • We can decrease transmission to 24 packets every 10 ms. • Probability theory enables us to predict the long term averages of quantities of interest and to design efficient systems.0 0 1 1 1 - e 1 - e e eC1 C2 C3 C2 C1 C1 C4 C2 C3 C5


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ROCHESTER ECE 270 - Lecture Notes - Introduction to Probability

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