A stochastic variable (X) follows a hypergeometric distribution with parameters (N=20, S=13), and (n=5). Find the distribution

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A stochastic variable \(X\) follows a hypergeometric distribution with parameters \(N=20, S=13\), and \(n=5\). Find the distribution function \(f\) of \(X\), and calculate its expected value and standard deviation. What is \(P(X \in\{0,1,2\})\) ?

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