PHL201H1 Lecture Notes - Normal Distribution, Standard Deviation, Binomial Distribution

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26 Oct 2012
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Due to the variability of the outcome of each measurement, of the same phenomenon under the same conditions, we consider a measurement as a random variable". A random variable is a process, the outcome of which is a random selection of a number from a collection of numbers (known as the range of the random variable. ) Of course, a random variable is selecting numbers based on absolutely no algorithm, and this is what characterizes the random variable. As soon as any element of uncertainty involves in a decision making, random variables are used as mathematical models. We usually build a non-deterministic model for our knowledge of the reality, and at the center of this model there resides a random variable. But often we face a certain decision making that is only partially random. Thus, in various investigations we use one of the many types of random variables that may better suit the nature of our selection.

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