(a)
Prob 0 orange = (2/8)^2 = (1/4)^3 = .0156
Prob 1 orange = C(3,1) * (1/4)^2 * (6/8) = .1406
Prob 2 orange = C(3,2) *(1/4) * (3/4)^2 = .4219
Prob 3 orange = (3/4)^3 = .4219
3rd histogram
(b)
Expected number of orange = 0 + .1406 + 2(.4219) + 3(.4219) = 2.25