Question

If the exit age distribution is given as δ(t – 4), then (int_0^∞) t^2 E(t)dt is ____

(a) 16

(b) 4

(c) 8

(d) 20

Answer 1

The correct option is (a) 16

To explain: Exit age distribution is represented by dirac delta function. (int_0^∞) δ(t-τ)f(t)dt = f(τ). Hence, (int_0^∞) t^2 E(t)dt = 42 = 16.