Assume / = .08 and that we are dealing with a four-year select period. We know that ^po] = •40,/>[30]+i = .80, ^[30]+2 =10 and

^[30^_^3 = . 10. Also D34 = 1000 and ^35 = 920. Find the probability that a person entering the select group at age 30

(a) will remain in the population for 5 years;

(b) will remain in the population for at most 3 years.