A large but sparsely populated county has two small hospitals, one at the south end of the county and the other at the n

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A Large But Sparsely Populated County Has Two Small Hospitals One At The South End Of The County And The Other At The N 1 (57.44 KiB) Viewed 25 times

A large but sparsely populated county has two small hospitals, one at the south end of the county and the other at the north end. The south hospital's emergency room has four beds, whereas the north hospital's emergency room has only three beds. Let X denote the number of south beds occupied at a particular time on a given day, and let y denote the number of north beds occupied at the same time on the same day. Suppose that these two random variables are independent; that the marginal probabilities of X are 0.1, 0.2, 0.3, 0.2, and 0.2 for the x values 0, 1, 2, 3, and 4, respectively, and that the marginal probabilities of Y are 0.1, 0.3, 0.4, and 0.2 for the y values 0, 1, 2, and 3, respectively. Complete the joint probability distribution table by finding p(x, y) for x = 0, 1, 2, 3, 4 and y = 0, 1, 2, 3. Y 0 1 2 3 Px(x) 0 0.1 1 0.2 X 2 0.3 3 0.2 4 0.2 0.1 0.3 0.4 0.2 1.00 Py(y)