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Introduction to Probability, Second Edition - Blitzstein, Joseph K, and Hwang, Jessica
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Assumes one-semester of calculus. "Stories" make distributions (Normal, Binomial, Poisson that are widely-used in statistics) easier to remember, understand. Many books write down formulas without explaining clearly why these particular distributions are important or how they are all connected.

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Introduction to Probability, Second Edition 2019, CRC Press, Oxford

ISBN-13: 9781138369917

2nd edition

Hardcover