Question: 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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