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Q(1). The probability distribution of random variable x is given as :

               P (X = x) = $\left\{\begin{array}{ccc}k{x}^2,& \mathrm{for} x =1, 2, 3& \\ 2kx,& \mathrm{for} x =4, 5& \\ O,& \mathrm{otherwise} & ,\mathrm{where} \mathrm{k} \mathrm{is} \mathrm{a} \mathrm{Constant}\end{array}\right.$
         Find E (X) .
   (e) (i) Ans : K =$\frac{1}{32}, \mathrm{E}\left(\mathrm{x}\right) =\frac{59}{16}$