(Answered) Xnbspis a discrete random variable and takes only three

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X is a discrete random variable and takes only three values. Its probability density distribution(pdf) is given by

f(x) =

1/2, if x = 1

1/4, if x = 2

1/4, if x = 4

0, otherwise

Y is a continuous random variable whose conditional expectation given X can be expressed byfunction h(X) such that

E(Y |X) = X2 - X

Compute E(Y ) using the Law of Iterated Expectations (E(Y ) = E[E(Y |X)]).

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