biometric authentication system returns a value n between $0$ and $10$ for each attempted match.

The table shows the percentages of imposter$/$genuine attempts for different ranges of n$.$

$($E$.$g$.,80\%$ of imposter attempts return a value between $0$ and $1$ while no genuine attempt returns a value between $0$ and $1.)$

Imposter attempts Genuine attempts

n

n

n

n

n

n

n

n

n

n

To accept all genuine attempts and to reject all imposter attempts the threashold must be set to t $=$

For each of the following values of t$,$ determine the percentage of attempts accepted$/$rejected:

Imposter attempts

accepted Genuine attempts

rejected

t$=9$

t$=5$

A biometric authentication system returns a value $n$ between $0$ and $10$ for each attempted

match.

The table shows the percentages of imposter$/$genuine attempts for different ranges of $n.$

$($E$.$g$.,80\%$ of imposter attempts return a value between $0$ and $1$ while no genuine attempt

returns a value between $0$ and $1.)$

To accept all genuine attempts and to reject all imposter attempts the threashold must be set

to $t=$

For each of the following values of $t,$ determine the percentage of attempts

accepted$/$rejected: