Assume a world with two risky assets $($R$1$ and R$2).$ R$1$ has an expected rate of return of $10\%$ and standard deviation of $20\%.$ R$2$ offers an expected return of $8\%$ but has a standard deviation of $15\%.$The risk$-$free rate is $5\%.$ Using Sharpe ratios explain if the following statement is true or false: A risk averse investor would prefer R$2$ over R$1$

$-->$ please show work and explain