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10. [Maximum mark: 15] The following table shows the probability distribution of a discrete random variable A, in terms of an angle 0. a 1 2 P(A=a) = cos 0 2cos20 (a) Show that COSA=7 3 [6] (b) Given that tan 0>0, , find tan 0. [3] (c) Let y= , for O1 cos.x 4 about the x-axis. Find the volume of the solid formed. [6]

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