Problem 19
For the renewal process whose interarrival times are uniformly distributed over \((0,1)\), determine the expected time from \(t=1\) until the next renewal.
Problem 31
If \(A(t)\) and \(Y(t)\) are, respectively, the age and the excess at time \(t\) of a renewal process having an interarrival distribution \(F\), calculate $$ P\\{Y(t)>x \mid A(t)=s\\} $$