Normal Distribution: Probability Density Function Derivation
Normal Distribution: Probability Density Function Derivation
1 month ago
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Normal Density Functions The family of bell-shaped curves y=(1)/(σ√(2 π)) e^-(x-μ)^2 /(2 σ^2) occurs in probability and statistics, where it is called the normal density function. The constant μis called the mean and the positive constant σis called the standard deviation. For simplicity, let's scale the function so as to remove the factor 1 /(σ√(2 π)) and let's analyze the special case where μ=0. So we study the function f(x)=e^-x^2 /(2 σ^2) (a) Find the asymptote, maximum value, and inflection
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