17.1 Unif Norm

17.1 Unif Norm - Continuous Uniform and Normal...

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Click to edit Master subtitle style 1/5/10 Continuous Uniform and Normal Distributions Week of March 16
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1/5/10 Continuous Uniform Dist. The uniform distribution is probably the simplest continuous distribution. Its distribution in general form is: fX(x) = 1/(b-a) The Uniform distribution has two
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1/5/10 Example Suppose we know that exactly one arrival occurred between time 4 and time 13 in a Poisson process. Let X be the arrival time. How is X distributed? Since arrivals in the Poisson process can occur at any time, the time will be Uniform(4,13). The mean, variance and CDF are relatively easy to find: x b a dx a b / ( ) - a b - x a dx a b ) /( 1 a x
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The Normal Distribution The Normal distribution is probably the most famous and most commonly used distribution. It is also know as the Gaussian distribution after Gauss who is generally credited with its invention (although it seems that De Moivre may have derived it first). The Central Limit Theorem
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This note was uploaded on 01/04/2010 for the course STATS 1100 taught by Professor Rodriguez during the Spring '08 term at Pittsburgh.

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17.1 Unif Norm - Continuous Uniform and Normal...

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