43. Consider a renewal process having interarrival distribution F such that F(x) ¯ = 1 2 e−x + 1 2 e−x/2, x> 0 That is, interarrivals are equally likely to be exponential with mean 1 or exponential with mean 2.

(a) Without any calculations, guess the equilibrium distribution Fe.

(b) Verify your guess in part (a).