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Mathematical Models for Society and Biology, 2nd Edition
book

Mathematical Models for Society and Biology, 2nd Edition

by Edward Beltrami
June 2013
Intermediate to advanced content levelIntermediate to advanced
288 pages
8h 12m
English
Academic Press
Content preview from Mathematical Models for Society and Biology, 2nd Edition
Chapter 5

A Bayesian Take on Colorectal Screening, Baseball, Fund Managers, and a Murder

5.1 Background

This chapter is a slight departure from the previous chapters, being a commentary on how Bayes’ Theorem from the study of probability can illuminate a wealth of problems in the social and biological sciences.

It concerns conditional statements of the form “What is the probability of an event A given that some other event, B, has taken place?” I write this in shorthand as prob(A|B). The theorem in question relates this assertion to its mirror image prob(B|A), in which A and B are interchanged. I want to illustrate this idea by a number of unusual and perhaps-unfamiliar examples, although I begin with two better-known illustrations in order to ...

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Publisher Resources

ISBN: 9780124046245