Of nine executives in a business firm, four are married, three have never married, and

Chapter 5, Problem 5.3

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QUESTION:

Of nine executives in a business firm, four are married, three have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y1 denote the number of married executives and Y2 denote the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available, find the joint probability function of Y1 and Y2.

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QUESTION:

Of nine executives in a business firm, four are married, three have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y1 denote the number of married executives and Y2 denote the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available, find the joint probability function of Y1 and Y2.

ANSWER:

Step 1 of 3

Given:

The sample number of executives in a business firm is 9.

The number of executives married is 4.

The number of executives who have never married is 3.

The number of executives that are divorced is 2.

  represents the number of married executives.

 represents the number of never-married executives among the three selected for promotion.

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