The example on Bayes' Theorem in Section 1.2 concerning the biology of twins was based on the

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The example on Bayes' Theorem in Section 1.2 concerning the biology of twins was based on the assumption that births of boys arid girls occur equally frequently, and yet it has been known for a very long time that fewer girls are born than boys ( cf. Arbuthnot, 1710). Suppose that the probability of a girl is p, so that

P(GGM)p, P(BBM)= 1- p, P(GB|M) = 0, P(GG|D) p, P(BBD) = (1 - p), P(GB|D) = 2p(1 - p). =

Find the proportion of monozygotic twins in the whole population of twins in terms of p and the sex distribution among all twins.

Bayes' Theorem
Twins can be either monozygotic (M) (i.e. developed from a single egg) or dizygotic (D). Monozygotic twins

so that although it is not easy to be certain whether a particular pair are monozygotic or not, it is easy to

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Bayesian Statistics An Introduction

ISBN: 9781118332573

4th Edition

Authors: Peter M. Lee

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Question Posted: Nov 28, 2023 03:05 AM

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The example on Bayes' Theorem in Section 1.2 concerning the biology of twins was based on the

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P(GG|M)=p, P(BB|M)=1-P, P(GB|M) = 0, P(GG|D) p², P(BB|D) = (1 - p)², P(GB|D) = 2p(1 - p). =

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Bayesian Statistics An Introduction

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