In Exercise 5.3, we determined that the joint probability distribution of Y1, the number of married executives, and Y2, the number of never-married executives, is given by

Reference

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.

Solution:

Step 1 of 3:

It is given that in a firm there are 9 executives out of which 4 are married,3 are unmarried and 2 are divorced.

denotes the number of married executives and denotes the number of unmarried executes.

Also, it is given that 3 executives are selected at random for promotion.

The joint probability distribution of and is given as

P(,)=,0

Using this we need to find the Cov(,).