Problem 3E

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.

Problem

One 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 denote the number of married executives and 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 function of and .

Step by step solution

Step 1 of 6

There are 9 executives in a business firm, from them 4 are married, 3 are never married and 2 are divorced.

3 executives are selected randomly for promotion, the number of ways of selection is:

.

The total number of events in the sample space is:

.