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June 7, 2024

Statistics

. A group of 9 executives of a certain firm include 4 who are married, 3 who never married, and 2 who are divorced. Three of the executives are to be selected for promotion. Let X denote the number of married executives and Y the number of never married executives among the 3 selected for promotion. Assuming that the three are randomly selected from the nine available, what is the joint probability density function of the random variables X and Y?

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