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O Points 0 of 1 Ilom a small finite population without replacement the binomial distribution...

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O Points 0 of 1 Ilom a small finite population without replacement the binomial distribution should not be used because the events are not independent If sampling is without replacement and the outcomes belong to one of two types we can use the hypergeometric distribution If a population has A objects of one type while the re B objects are of the other type and if n objects are sampled without replacement then the probability of getting x objects of type A and n x objects of type B under t hypergeometric distribution is given by the following formula In a lottery game a bettor selects four numbers from 1 to 50 without repetition and a winning four num combination is later randomly selected Find the probabilities of getting exactly two winning numbers with one ticket Hint Use A 4 B 46 n 4 and x 2 P x A BI A B A x x B n x n x A B n n P 2 Round to four decimal places as needed SID points

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