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1 Probability Theory
1 Probability Theory

... You are looking for an object in one of five drawers. There is a 20% chance that it is not in any of the drawers, but if it is in a drawer, it is equally likely to be in each one. Show that as you look in the drawers one by one, the probability of finding the object in the next drawer rises if not f ...
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... Definition of Probability • The probability of an event equals the number of times it happens divided by the number of opportunities. • These numbers can be determined by experiment or by knowledge of the system. • For instance, rolling a die (singular of dice). The chance of rolling a 2 is 1/6, be ...
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StatsforScience08.0001.29d7.bak

< 1 ... 397 398 399 400 401 402 403 404 405 ... 861 >

History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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