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Log-normal Distribution (Graph)

TOP/Statistical Functions/Log-normal distribution
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Displays graphs of the probability density function f(x), the lower cumulative probability P(x), and the upper cumulative probability Q(x) for the log-normal distribution.
Function Selection
Mean μ of ln(x)
Standard deviation σ of ln(x)
σ＞0
[ Initial value of x
x≧0
]
\(\normalsize Lognormal\ distribution\ LogN(x,\mu,\sigma)\\ (1)\ probability\ density\\ \hspace{30px}f(x,\mu,\sigma)= {\large\frac{1}{\sqrt{2\pi}\sigma x}e^{-\frac{1}{2}\left(\frac{\ln(x)-\mu}{\sigma}\right)^2}}\\ (2) lower\ cumulative\ distribution\\ \hspace{30px}P(x,\mu,\sigma)={\large\int_{\small 0}^{\small x}}f(t,\mu,\sigma)dt\\ (3) upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\mu,\sigma)={\large\int_{\small x}^{\small\infty}}f(t,\mu,\sigma)dt\\\)

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