From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample...

 

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From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find: (a) the joint probability distribution of X and Y; (b) P[(X, Y ) E A], where A is the region that is given by {(x, y) | x + y < 2}. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find: (a) the joint probability distribution of X and Y; (b) P[(X, Y ) E A], where A is the region that is given by {(x, y) | x + y < 2}.