answer Question below:

11.1.2. This problem completes Example 11.3 by Pois showing that the PDF fr. (t) of the nth arrival time arriv satisfies telle ately 100 Jo fi, (1) di = (1002)Je-1002 with I'M : n! vice is the (a) Let In = fo fr. (t) dt. Use integration by servic parts to derive the difference equation 11.2.4. Fo (1002)me-1002 arriva In = + In+1 n! small with p (b) Show that In = Ef- (1002)je -1007 / j! is a ity 24 solution to the difference equation. rem 1 1 (c) Define lo = PIN(100) > 0]. Since 10 = 1, 11.2.5. Co show that service n- equipr In = 1- E (1002)je-1007 / j! or the o j=0 number