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Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 37 / 6 / iv

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2002 iii Paper 37 6
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iv
For binary traits, Y1​Y2​ is the indicator that both individuals are affected. Hence the pair probability is its expectation, or equivalently the covariance plus the product of individual means. Using the preceding results,
Pr(Y1​=Y2​=1∣J=2)=p2β2,Pr(Y1​=Y2​=1∣J=0)=p2α4.​
(1)
These statements retain the same conditional-independence and common-population assumptions as the multiplicative diallelic penetrance covariance calculation.

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