Question

3. 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) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.

Answer 1

o of Oanges Let tio no of Samples Oranges apples Baranas 3 Join paobabitity 3 4-2-y X D2,3 ese NOto 3 X: 어유 3 40 0 10 10 50 3 10 0 Sx1유

P [x) fco,o) P (x) 18 t 40 구0 10 0 35 10 아유