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A Short Introduction to Probability

A Short Introduction toProbabilityProf. Dirk P. KroeseSchool of Mathematics and PhysicsThe University of Queenslandc 2018 Kroese. These notes can be used for educational purposes, pro-vided they are kept in their original form, including this title 2018 KroeseContents1 Random Experiments and Probability Random Experiments .. Sample Space .. Events .. Probability .. Counting .. Conditional Probability and independence .. Rule .. of Total Probability and Bayes Rule .. 272 Random Variables and Probability Random Variables .. Probability Distribution .. Distributions .. Distributions .. Expectation .. Transforms .. Some Important Discrete Distributions .. Distribution .. Distribution .. distribution .. Distribution .. Distribution .. Some Important Continuous Distributions.

Example 1.1 (Coin Tossing) The most fundamental stochastic experiment is the experiment where a coin is tossed a number of times, say ntimes. Indeed, much of probability theory can be based on this simple experiment, as we shall see in subsequent chapters. To better understand how this experiment behaves,

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people.smp.uq.edu.au

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people.smp.uq.edu.au

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