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Titlebook: Elementary Probability Theory; Melvin Hausner Book 1995 Melvin Hausner 1995 Probability theory.Random variable.binomial distribution.condi

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樓主: Gram114
21#
發(fā)表于 2025-3-25 06:28:56 | 只看該作者
22#
發(fā)表于 2025-3-25 08:21:43 | 只看該作者
https://doi.org/10.1007/978-3-030-83317-6numbers; it is . because the actual number depends on a probability experiment. Random variables have been part of probability theory since its beginnings, because they are invariably part of a gambling situation. For example, consider the following game in which 2 dice are tossed. The player wins $
23#
發(fā)表于 2025-3-25 11:54:33 | 只看該作者
24#
發(fā)表于 2025-3-25 17:10:43 | 只看該作者
25#
發(fā)表于 2025-3-25 21:58:26 | 只看該作者
https://doi.org/10.1057/9781137396853vent . will occur at least once if the experiment is repeated, independently, for n times. By Theorem 37 of Chapter 3, we have.The cases . = 0 and . = 1 naturally give .. = 0 and ..= 1, while the case . = 1 naturally gives .. = .. We shall therefore usually assume that . > 1 and
26#
發(fā)表于 2025-3-26 00:23:54 | 只看該作者
27#
發(fā)表于 2025-3-26 05:58:19 | 只看該作者
Lists Ideen zum deutschen EisenbahnwesenIf . is any probability space (Definition 1.6), we have defined an event . as any subset of . (Definition 1.12). In Chapter 2 we worked with a uniform space . and considered the problem of computing the probability .(.) by counting the elements in . and in . and using Equation 1.11: .(.) = .(.)/ .(.).
28#
發(fā)表于 2025-3-26 09:52:37 | 只看該作者
29#
發(fā)表于 2025-3-26 14:13:50 | 只看該作者
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發(fā)表于 2025-3-26 17:15:44 | 只看該作者
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