A stormwater$-$management system is being designed for a $($

design, life of $10$ years, and a $($design runoff event is to be selected such

that

there is only a $1\%$ chance that the

system capacity will be exceeded

during the design life. $($a

Determine the return period of the

design runoff event. $($b$)$ If the CDF of the peak runoff rate, Q $($in m$\text{'}$s $),$ in

any

runoff event is given by F$($Q$)=$exp$[-$exp$(-$ Q$)]$ what is the design $?$