In a hypergeometric random variable X, there are repeated trials of an event, however these are not independent. This corresponds closely to the case of selecting marbles from a bowl (without replacement). The random variable X counts the number of marbles of category A out of N trials There are two parameters n, the number of trials, N, the total number of marbles, and p= k/N, the initial proportion of marbles of category A, (however, the probability of a marble of category A varies after the first trial For example Select 4 marbles from a group of 15 marbles, of which 6 are red and 9 are other colors Let X= number of red marbles selected a Find the probability mass functon for X X-x PIX-X) 3

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