i) let p = probability of one surviving
= P(a 60 year old survives) + P(a 65 year old survives)
= 3/5*0.97 + 2/5*0.96
= 0.966
q = probability of one dying
= 1 - 0.966
= 0.034
X = number of deaths
P(X≤1) = P(X=0) + P(X=1)
= 5C0*0.9665 + 5C1*0.034*0.9664
=...