Normal Distribution (Interval Calculation)
Calculates the probability densities at two points of a normal distribution and the probabilities inside and outside the interval, and displays a graph.
・The default values for μ and σ represent the standard normal distribution.
| \(\normalsize Normal\ distribution\ N(x,\mu,\sigma)\\ (1) probability\ density\\ \hspace{30px}f(x,\mu,\sigma)={\large\frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}}\\ (2) Inner\ cumulative\ distribution\\ \hspace{30px}P(x_1\sim x_2,\mu,\sigma)={\large\int_{\small x_1}^{\small x_2}}f(t,\mu,\sigma)dt\\ (3) outer\ cumulative\ distribution\\ \hspace{30px}Q(x_1\sim x_2,\mu,\sigma)=1-P(x_1\sim x_2,\mu,\sigma)\\ \) |
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