Vectors, functions, probabilities, parallelogram, function behavior, probability calculations, vaccine effectiveness, equi-probability
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Abstract
A collection of mathematical exercises on vectors, functions, and probabilities, covering topics such as parallelogram properties, function behavior, and probability calculations.
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[...] Vectors, Functions and Probabilities - Second Level Exercise MIEL is a parallelogram if and only if the vectors [...]
[...] Event B is realized by 4 outcomes. The two balls drawn are 0 and and and and 0. Event A ? B is realized by 2 outcomes: the balls drawn are 1 and and 3 and 0. 1st way: A U B constitutes the outcomes that realize A or B. We have 8 outcomes that realize A and the drawn balls are 0 and and and and and and and and 2. 2ème manner: One uses the following formula: Exercise Malades Not ill Total Vaccinated 16 184 200 Not vaccinated 224 176 400 Total 240 360 600 The event V?M is the intersection of the events V and it is composed of the issues that realize V and M. [...]
[...] M is the event: 'the person questioned is sick and vaccinated'. The event VUM is the union of the events V and it is composed of the issues that realize V or M. V U M is the event: 'the person questioned is either sick or vaccinated'. P is the probability that a person is sick given that they are not vaccinated. q is the probability that a person is sick given that they are vaccinated. The quotient is strictly greater than 1 and very far from we can then declare that the vaccine is effective. [...]
