A bullet is shot against a target whose center is located at the point O with coordinates (0, 0) in a Cartesian system. The position of the point that the bullet hits the target is described by its coordinates (X, Y), which are random variables.

The ranges of values for X and Y are RX = [−2, 2] and RY = [−3, 4], respectively.

(i) Identify the range of values for each of the random variables |X|, |Y|, X + Y, and X − Y.

(ii) If R stands for the distance between the bullet’s position and the center, find the range of values for R.