Suppose that each of two urns has four chips, numbered 1 through \(4 .\) A chip is drawn from the first urn and bears the number \(X\). That chip is added to the second urn. A chip is then drawn fromthe second urn. Call its number \(Y\).(a) Find \(p_{X, Y}(x, y)\).(b) Show that \(p_{X}(k)=p_{Y}(k)=\frac{1}{4}, k=1,2,3,4\).(c) Show that \(X\) and \(Y\) are not independent.

Seen 1 years ago byThomas Joe

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