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Hypergeometric Distribution (Graph)

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Displays graphs of the probability mass function, lower cumulative distribution function, and upper cumulative distribution function for the hypergeometric distribution.
Select a graph
Sample size n
n=0,1,2,.. n≦N
Number of specific elements within the population M
M=0,1,2,.. x≦M
Population size N
N=0,1,2,.. M≦N
[ Initial value of x:
(number of specific elements in the sample)
x=0,1,2,.. x≦n
]
\(\normalsize Hypergeometric\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,n,M,N)={\large\frac{{}_MC_x\ {}_{N-M}C_{n-x}}{{}_NC_n}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,n,M,N)={\large\displaystyle \sum_{t=0}^{x}}f(t,n,M,N)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,n,M,N)={\large\displaystyle \sum_{t=x}^{M}}f(t,n,M,N)\\\)

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