$1)$ Sharon Smith, the financial manager for Barnett Corporation, wishes to select one ofthree prospective investments: X$,$ Y$,$ and Z$.$ Assume that the measure of risk Sharon caresabout is an asset$$s standard deviation. The expected returns and standard deviations of theinvestments are as follows:a$.$ If Sharon were risk neutral, which investment would she select? Explain why.b$.$ If she were risk averse, which investment would she select? Why?c$.$ If she were risk seeking, which investment would she select? Why?d$.$ Suppose a fourth investment, W$,$ is available. It offers an expected return of $15\%,$ and ithas a standard deviation of $9\%.$ If Sharon is risk averse, can you say which investmentshe will choose? Why or why not? Are there any investments that you are certain she willnot choose?