In exercises consider a sample of size 3 drawn with replacement (without replacement) from an urn containing (i) 1 white and 2 black balls, (ii) 1 white, 1 black, and 1 red ball. For k = 1,2, 3 let Xk = l or 0 depending on whether the ball drawn on the kth draw is white or nonwhite.
Describe the individual probability laws of the random variables Y1, Y2, and Y3, in which Y1 = X1 + X2 + X3, Y2 = maximum (X1, X2, X3), and Y3 = minimum (X1, X2, X3).