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A random variable, Y, has density function f(y) = 5/8y^3(2-y), if 0 y 2 0 , otherwise .(i) Calculate P(Y > 1). (ii) Calculate the
A random variable, Y, has density function
f(y) = 5/8y^3(2-y), if 0 y 2
0 , otherwise
.(i) Calculate P(Y > 1).
(ii) Calculate the third moment, E[Y^3].
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