Q)
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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