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Joint, Marginal, and Conditional Probability
Joint, Marginal, and Conditional Probability

... together with associated probabilities, is called a discrete probability distribution. • To calculate the probability that the random variable X assumes the value x, P(X = x), – add the probabilities of all the simple events for which X is equal to x, or – Use probability calculation tools (tree dia ...
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... Example 2: Find the probability of getting at least one number correct out a 3-numbers combination lock with markings from 0 to 59 inclusive. All numbers are Incorrect (No number is correct) is the Compliment Event of At Least ONE number is correct. ...
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Introduction to Inferential Statistics and Confidence Intervals

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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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