Answer
$P(five~randomly~selected~40-year-old~females~will~live~to~be~41~years~old)=0.99277$
Work Step by Step
$P(a~40-year-old~female~will~live~to~be~41~years~old)=0.99855$
Now, using the Multiplication Rule (see page 282):
$=P(five~randomly~selected~40-year-old~females~will~live~to~be~41~years~old)=$
$=P(a~40-year-old~female~will~live~to~be~41~years~old)\times P(a~40-year-old~female~will~live~to~be~41~years~old)\times P(a~40-year-old~female~will~live~to~be~41~years~old)\times P(a~40-year-old~female~will~live~to~be~41~years~old)\times P(a~40-year-old~female~will~live~to~be~41~years~old)=$
$=[P(a~40-year-old~female~will~live~to~be~41~years~old)]^{5}=0.99855^{5}=0.99277$
