Question: (iv) e30, (v) Var(T(30)), (vi) e30:301 . Answer: (i) 400 (ii) 0.16. (iii) 800 (20+t)2 . (20+1)3 . (iv) 20. (v) co. (vi) 12.An actuary

(iv) e30, (v) Var(T(30)), (vi) e30:301 . Answer: (i) 400 (ii) 0.16. (iii) 800 (20+t)2 . (20+1)3 . (iv) 20. (v) co. (vi) 12.An actuary models the future lifetime of (30) as follows. T(30) has force of mortality #, where u has pdf fu(t) = 400te-20t, t 2 0. Calculate: (i) +P30, (ii) 30P30, (iii) The density of T(30)

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