Question

Part b as well please

From a sack of fruit containing 2 apples, 3 oranges, and 2 bananas, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of oranges in the sample (a) Find the joint probability distribution of X and Y (b) Find P[X,Y)EA], where A is the region that is given by {(x.y) | X ys 3. (a) Complete the joint probability distribution below. (Type integers or simplified fractions.) X f(x.y) 1 4 0 y

Answer 1

atples oamges bananas. Total Treoe i's Sclcated 4 pice KASKCam apples x = 0, , 2, NO NO. o) P(x 0 O Lemnny Craung, 2 2 appl 22 3 x 1 .3 3s Pl apple banan 3 range (x,Y) 33 2 C Plx, Y banany 1 oromge 2 2C 3с, х 2с2 35 bann apple amg 2 flx1,2) ( 2 2 12. 35 х 2co 2c 3

2 a pie . P(x 2,) bamana 1 X Oyango, 1 harnana 2et a ppic 39 O banana UYounge appl 24 2 2 Magina! 3 1 X 12/35 2 1 1Aong Imal

(x 3 Plx elx = O. (x 8, 2) x.+=2) (R2, 3 3 3 5 +y= 3) = tP(x,2) (R= 2,7=). 20 35 35 30 3 35 35 30 26 £3)