The probability distribution of a random variable x is given as under: $$P(X=x)=\left \{\begin{array}{1 1}kx^2 & for\;x=1,2,3\\2kx & for\;x=4,5,6\\0 & otherwise\end{array}\right.$$ Where k is a constant.Calculate $$(i)\;E(X)\quad(ii)\;E(3X^2)\quad(iii)\;P(X\geq 4)$$

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