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Thecontinuousrandomvariable\(X\)followsanormaldistributionifitsprobabilitydensityfunctionisdefinedas:\(f(x)=\dfrac{1}{\sigma\sqrt{2\pi}}\text {exp}\left\{-\dfrac{1}{2}\left(\dfrac{x-\mu}{\sigma}\right)^2\right\}\)for\(-\infty