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        "author": "Massimo DiPierro",
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        "description": "## What?\n\nImplements the standard math syntax for expectation values of random variables on finite sets\n\n## How?\n\nThis is best explained with an example:\n\n```\n# import the objects\nfrom random_variable import RandomVariable, E\n         \n# define a universe for example the possible outcomes of a dice\ndice = [1, 2, 3, 4, 5, 6]\n\n# define one random variable\nX = RandomVariable(dice)\n\n# compute and print expectation values\nprint('mean:', E[X])\nprint('one minus mean:', E[1-X])\nprint('twice the mean:', E[X*2])\nprint('variance:', E[(X-E[X])**2])\nprint('variance again:', E[X**2]-E[X]**2)\nprint('standard deviation:', (E[X**2]-E[X]**2)**0.5)\nprint('skewness:', E[(X-E[X])**3]/E[(X-E[X])**2]**1.5)\nprint('kurtosis:', E[(X-E[X])**4]/E[(X-E[X])**2]**2)\nprint('some other complex expectation value:', E[sin(2*X)*cos(X+1)])\n```\n\n(works in both python 2 and python 3)\n\n## License\n\nBSD v3 - Created by Prof. Massimo Di Pierro (DePaul Universty) 2018",
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