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keisanHigh-precision calculations for everyday life and work

Exponential Distribution (Graphs)

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Displays graphs of the probability density function, lower cumulative distribution function, and upper cumulative distribution function for the exponential distribution.
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Scale parameter b
b>0
[ Initial value of x
x≧0
]
\(\normalsize Exponential\ distribution\\ (1)\ probability\ density\\ \hspace{30px}f(x,b)={\large\frac{1}{b}e^{-\frac{x}{b}}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,b)={\large\int_{\small 0}^{\small x}}f(t,b)dt={\large 1-e^{-\frac{x}{b}}}\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,b)={\large\int_{\small x}^{\small\infty}}f(t,b)dt={\large e^{-\frac{x}{b}}}\\\)

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