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keisanHigh-precision calculations for everyday life and work

Beta Distribution (Graph)

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Displays graphs of the probability density, lower cumulative probability, and upper cumulative probability of the beta distribution.
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Shape parameter a
a>0
Shape parameter b
b>0
[ Initial value of x
0≦x≦1
]
\(\normalsize Beta\ distribution\\ (1)\ probability\ density\\ \hspace{30px}f(x,a,b)={\large\frac{1}{B(a,b)}}x^{a-1}(1-x)^{b-1}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,a,b)={\large\int_{\small 0}^{\small x}}f(t,a,b)dt\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,a,b)={\large\int_{\small x}^{\small 1}}f(t,a,b)dt\\\)

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