$!$

Required information

$[$The following information applies to the questions displayed below.$]$

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long$-$term government and corporate bond fund, and the third is a T$-$bill money market fund that yields a sure rate of $5\mathrm{.}5\%.$ The probability distributions of the risky funds are:

$\backslash$table$[[,$Expected Return,Standard Deviation$],[$Stock fund $($S$),15\%,38\%$