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Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6,...

Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6, Find:

i) a and b.
ii) the moment generating function of Y. M(t)=?

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