The probability distribution of a discrete random variable X is given as under:

Question

x 0 2 4 2A 3A 5A P(x) $\Large \frac{1}{2}$ $\Large\frac{1}{5}$ $\Large\frac{3}{25}$ $\Large\frac{1}{10}$ $\Large\frac{1}{25}$ $\Large\frac{1}{25}$ Calculate\[\begin{array}{1 1}(i)\;the\;value\;of\;A\;if\;E(X)=2.94\\(ii)\;variance \;of \;x\end{array}\]