Consider the following information about Stock I and II$.$ The risk$-$free rate is $2$ percent. The systematic risk of Stock I is $0\mathrm{.}6.$

Rate of Return

State of Economy Probability Stock I Stock II

Recession $0\mathrm{.}300\mathrm{.}04-0\mathrm{.}15$

Normal $0\mathrm{.}600\mathrm{.}150\mathrm{.}06$

Irrational exuberance $0\mathrm{.}100\mathrm{.}050\mathrm{.}35$

$1)$ What is the systematic risk of Stock II$?$

$2)$ If you would like to hold a portfolio with systematic risk $0\mathrm{.}35,$ how much should you invest in Stock I and Stock II$,$ respectively?