Joint Probability Function f(x,y)= 3 2 3 [AQ] y 8 5 5-x-y , x = 0, 1, 2, 3; y = 0, 1, 2; 2≤x+y≤5 From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 5 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, the joint probability distribution of X and Y is given by the accompanying function. Determine the correlation coefficient between X and Y.

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