... mothers?¹

Warning: One of the things you'll learn about me is that when I ask questions like this I'm not looking for a simple ``yes'' or ``no'' answer. You'll have to explain why you came to the conclusion, and to do that you'll probably find it useful to do some statistical calculations. In this case, those calculations are pretty simple.

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....²

To answer this question you will almost certainly need to use WinBUGS. You could design an E-M algorithm to calculate the maximum-likelihood estimate, but getting the Bayesian estimate with WinBUGS is a lot easier. In the unlikely event that you construct an E-M algorithm to solve the problem, describe the algorithm in enough detail that we can give you partial credit if you make any mistakes. In the likely event that you use WinBUGS, include your source code in your answer.

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... data.³

The null allele homozygote wouldn't be in these data, so exclude it. To get the frequency of the remaining alleles, divide their frequency by $1-p_u$.

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