SEND ALL ANSWERS IN HANDWRITTEN SOLUTIONS, THREE DECIMAL PLACES.

1.)

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 s 2).1. If the joint probability is given by: mm) = '32\". for a: = 0.1.23; y = 0,1,2, Find: {a} Pl): 5 2, Y = 1}; {h} PIX > 2, Y s 1]; {CiPith {d}P(X+Y=4}