From a basket of fruits containing 3 oranges, 2 apples, and 3 bananas a random sample of 4 pieces of fruit is selected. If X is the number of appl and Y is the number of oranges in the sample, find a) the joint probability distribution of X and Y; b) P[(X,Y € A], where A is the region that is given by {(x+y)| x+y s 2} c) Find the conditional distribution of X d) Find the conditional distribution of Y

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