Question: When a dart is thrown at a circular target, consider the loca- tion of the landing point relative to the bull's eye. Let X be

When a dart is thrown at a circular target, consider the loca- tion 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 Y = h(x) = (2/360)X - , so Y is the angle measured in radians and Y is between - Obtain E(Y) and or, by first obtaining E(X) and using the fact that h(X) is a linear function of X. and

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