Suppose the market portfolio consists of weights $w_1=0\mathrm{.}3$ and $w_2=0\mathrm{.}7$ in two stocks.

Assume that $E[R_1]=0\mathrm{.}06,E[R_2]=0\mathrm{.}09,$ var$[R_1]=0\mathrm{.}10,$ and var$[R_2]=0\mathrm{.}1.$

Assume that the correlation between the two stock returns is ${}_{12}=-0\mathrm{.}5.$

What is the market beta of stock $1?$