Answer
$P(negative~for~all~five~people)\approx0.97525$
Work Step by Step
$P(negative)=99.5$% $=0.995$
Now, using the Multiplication Rule (see pgae 282):
$P(negative~for~all~five~people)=$
$P(negative)\times P(negative)\times P(negative)\times P(negative)\times P(negative)=[P(negative)]^{5}=0.995^{5}\approx0.97525$