If theta is a continuous random variable which is uniformly distributed between 0 and pi, write down an expression for P(0). Hence find the values of the following averages: (theta) (theta - pi / 2) (theta 2) (theta n) (for the case n ge 0); (cos theta); (sin theta); (|cos theta|); (cos 2 theta); (sin 2 theta); (cos 2 theta + sin 2 theta). Check that your answer are what are you expect.