Problem $2-19($Algorithmic$)$

A company studied the number of lost$-$time accidents occurring at its Brownsville, Texas, plant. Historical records show that $7\%$ of the employees had lost$-$time $-$ accidents last year. Management believes that a special safety program will reduce the accidents to $5\%$ during the current year. In addition, it estimates that $15\%$ of those employees having had lost$-$time accidents last year will have a lost$-$time accident during the current year.

a$.$ What percentage of the employees will have lost$-$time accidents in both years? When required, round the percent to three decimal places before converting to a percentage. For example, $\mathrm{.}8839$ would be rounded to $\mathrm{.}884$ and entered as $88\mathrm{.}4.$

$\%$

b$.$ What percentage of the employees will have at least one lost$-$time accident over the two$-$year period? When required, round the percent to three decimal places before converting to a percentage. For example, $\mathrm{.}8839$ would be rounded to $\mathrm{.}884$ and entered as $88\mathrm{.}4.$

$\%$