Consider the following information on two stocks: P$($State$)$ Stock A Stock B Boom $50\%0\mathrm{.}250\mathrm{.}15$ Normal $20\%0\mathrm{.}12-0\mathrm{.}06$ Bust $30\%-0\mathrm{.}050\mathrm{.}10$ Calculate the variance of stock A$.($Enter percentages as decimals and round to $4$ decimals$)$P$($State$)$ Stock A Stock B Boom $50\%0\mathrm{.}250\mathrm{.}15$ Normal $20\%0\mathrm{.}12-0\mathrm{.}06$ Bust $30\%-0\mathrm{.}050\mathrm{.}10$ Suppose you invest $$50,000$ into stock A$,$ and $$30,000$ into stock B$.$ Calculate the weight of A in the portfolio. $($Enter percentages as decimals and round to $4$ decimals$)$