You have $$114,000$ to invest in a portfolio containing Stock X and Stock Y$.$ Your goal is to create a portfolio that has an expected return of $15\mathrm{.}8$ percent. Stock X has an expected return of $13\mathrm{.}6$ percent and a beta of $1\mathrm{.}22,$ and Stock Y has an expected return of $8\mathrm{.}1$ percent and a beta of $\mathrm{.}02.$

a$.$ How much money will you invest in Stock Y$?($Do not round intermediate calculations. A negative answer should be indicated by a minus sign.$)$

b$.$ What is the beta of your portfolio? $($Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.)$