Question: please answer the following question with small explanation 1. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample
please answer the following question with small explanation

1. 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) EA], Where A is the region that is given by {(x, y) Ix + y g 2}. (c) Find the marginal density of X . (d) Find the conditional distribution ofX, given that Y= 1
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