A discrete random variable X has the probability distribution given as below:

Question

X 0.5 1 1.5 2 P(X) k $k^2$ $2k^2$ k \begin{array}{1 1}(i)\quad Find\;the\;value\;of\;k \\(ii)\quad Determine\;the\;mean\;of\;the\;distribution\end{array}