QUESTION $1$

You own an asset that will have one of the below returns over the next year. What is the expected variance of returns? $($Answer as a decimal, round to the nearest ten$-$

thousandth$)$

There is a $0\mathrm{.}2$ probability of a bad outcome with a return of $0\mathrm{.}00.$

There is a $0\mathrm{.}2$ probability of an ok outcome with a return of $0\mathrm{.}03.$

There is a $0\mathrm{.}2$ probability of a good outcome with a return of $0\mathrm{.}08.$

There is an unkown probability of a great outcome with a return of $0\mathrm{.}19.$