A group of potential jurors consists of 15 women and 18 men. Suppose that 12 people are picked at random from this group, without replacement. Let X represent the number of women among those selected. Since the sample size exceeds 5% of the population size, X does not have an approximate binomial distribution. Explain in your own words why X does not have a binomial distribution. Which of the requirements for a binomial distribution does it not satisfy?
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