When a dart is thrown at a circular target, consider the location of the landing point relative to the bull’s eye. Let X be the angle in degrees measured from the horizontal, and assume that X is uniformly distributed on [0, 360]. Define Y to be the transformed variable , so Y is the angle measured in radians and Y is between and .

Obtain E(Y) and by first obtaining E(X) and , and then using the fact that h(X) is a linear function of X.