Question $2$: $(25$ Points$)$

a$.$ A roadway agency has identified installing a single$-$lane roundabout in place of a minor$-$

road stop controlled intersection would be the most appropriate treatment to reduce the

high crashes at this rural intersection. Based on the historical data, the percentage of

Fatal$/$Injury $($FI$)$ are $71\%$ of the total crashes and the percentage of Property Damage Only

$($PDO$)$ crashes are $29\%.$

If the expected total crashes without the roundabout are $11\mathrm{.}2$ crashes per year, determine the

reduction in crashes per year after installing a roundabout in terms of

I. Total crashes $(2$ Points$)$

II$.$ Fatal and Injury $($FI$)$ crashes $(2$ Points$)$

III. Property damage only $($PDO$)$ crashes $(2$ Points$)$

$($IGNORE THE CONFIDENCE INTERVAL CALCULATIONS. CALCULATE THE

AVERAGE REDUCTION IN CRASHES.$)$

b$.$ Determine the monetary value of annual benefit of installing a roundabout using FH

$2005$ crash costs. $(5$ Points$)$