Let p be a probability of interest for a terminating simulation, as discussed in Sec. 9.4....

Let p be a probability of interest for a terminating simulation, as discussed in Sec. 9.4.2. Define IID random variables Y₁, Y_2, …, Y_n such that  and use these Y_j’s in (4.3), (4.4), and (4.12) to derive one possible confidence interval for p. Show that the variance estimate given by Eq. (4.4) can be written as