Johnson J.L. Probability and Statistics for Computer Science

Wiley-Interscience, 2008. - 760 p.
Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results".
Special emphases on simulation and discrete decision theory.
Mathematically-rich, but self-contained text, at a gentle pace.
Review of calculus and linear algebra in an appendix.
Mathematical interludes (in each chapter) which examine mathematical techniques in the context of probabilistic or statistical importance.
Numerous section exercises, summaries, historical notes, and Further Readings for reinforcement of content.