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Cubes and cube roots
Cubes and cube roots

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Document

IB2 HL Questionbank questions on Probability and Statistics
IB2 HL Questionbank questions on Probability and Statistics

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Condorcet Jury Theorem: The dependent case Bezalel Peleg and Shmuel Zamir
Condorcet Jury Theorem: The dependent case Bezalel Peleg and Shmuel Zamir

... We generalize Condorcet’s model by presenting it as a game with incomplete information in the following way: Let I = {1, 2, . . ., n} be a set of jurors and let D be the defendant. There are two states of nature: g – in which D is guilty and z – in which D is innocent. Thus the set of states of natu ...
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Section 2.4 1 Definition of a Limit 2 The Absolute Value Function

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PROBLEM OF THE DAY

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Use and Testing of Pseudo-random Number Generators (PRNGs)

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... The width of a rectangle is 2 cm less than the length of the rectangle. The perimeter of the rectangle is 76 cm. Find the dimensions of the rectangle. ...
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Law of large numbers



In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed.The LLN is important because it ""guarantees"" stable long-term results for the averages of some random events. For example, while a casino may lose money in a single spin of the roulette wheel, its earnings will tend towards a predictable percentage over a large number of spins. Any winning streak by a player will eventually be overcome by the parameters of the game. It is important to remember that the LLN only applies (as the name indicates) when a large number of observations are considered. There is no principle that a small number of observations will coincide with the expected value or that a streak of one value will immediately be ""balanced"" by the others (see the gambler's fallacy)
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