Homework Answers
for above probability of living past 5 years =P(X>5)=1-P(X<5)
=1-(0.5*(1-exp(-5/4)+0.2*(1-exp(-52/32))+0.3*(1-exp(-5/12))=0.5379
probability that survive between 5 and 6 years =P(5<X<6)=P(X<6)-P(X<5)=0.5150-0.4621=0.0529
hence P(survive between 3 and 6 years given survive past 5 years)=P(3<X<6|X>5)
=P(5<X<6)/P(X>5)=0.0529/0.5379=0.0984
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