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Input:

normal distribution | mean | mu = 0\nstandard deviation | sigma = 2


Statistical properties:

mean | 0\nmode | 0\nstandard deviation | 2\nvariance | 4\nskewness | 0


Probability density function (PDF):

e^(-x^2\/8)\/(2 sqrt(2 pi))


Cumulative distribution function (CDF):

P (X<=x) = 1\/2 erfc(-x\/(2 sqrt(2)))


Random sample from the distribution:

-2.46757  |  0.132742  |  -0.0980458  |  1.43852  |  -0.289984


Percentiles:

10th | -2.5631\n25th | -1.34898\n50th | 0\n75th | 1.34898\n90th | 2.5631

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