Back to 8.3 Problems On Random Vectors and Joint Distributions

8.3 Exercise 2

Avg difficulty 2.5

Two positions for campus jobs are open. Two sophomores, three juniors, and three seniors apply. It is decided to select two at random (each possible pair equally likely). Let X be the number of sophomores and Y be the number of juniors who are selected. Determine the joint distribution for the pair $\left\{X , Y\right\}$ and from this determine the marginals for each.

Pfeiffer, Applied Probability, 8.3 Problems On Random Vectors and Joint Distributions, exercise 2

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