Let A(t) be the age of a renewal process. all the information are listed below.

(a) Obtain a renewal equation for Pr(A(t) > 1). (b) Use the theorem proved in Problem 1 and the key renewal theorem to compute an expression for lim Pr(A (t) > 1). (c) Compute tlim Pr(A(t) > 1) in the case that the interrenewal times, X i, are i.i.d. Uniform[0,2] random variables