In this article a single-item, continuous monitoring (s, Q) inventory model with probabilistic demand following Bernoulli distribution and probabilistic lead time of order replenishment is considered. The model extends a Bernoulli demand inventory model, available in the literature. We allow a non-zero reordering inventory position. Some properties are shown for the model and a search method is given to find the optimal values of the policy parameters. A numerical experiment is done for the model and some observations are made.