1. Durrett, Richard, Elementary Probability for Applications, Cambridge Univ. Press, London, England, 2009.
2. Wiley Series in Probability and Statistics;Norman L. Johnson,2005
3. Olkin, Ingram, Cyrus Derman, and Leon Gleser, Probability Models and Applications (2nd ed.), Macmillan, New York, 1994. Contains an in-depth discussion of both general properties of discrete and continuous distributions and results for specific distributions.
4. Pitman, Jim, Probability, Springer-Verlag, New York, 1993.
5. Ross, Sheldon, Introduction to Probability Models (9th ed.), Academic Press, New York, 2006. A good source of material on the Poisson process and generalizations and a nice introduction to other topics in applied probability.