Question: A man selected at random from a population has probabilities (1-0), 20(1-0), 02 of belonging to the categories AA, AB, BB respectively. The laws of

A man selected at random from a population has probabilities (1-0), 20(1-0), 02 of belonging to the categories AA, AB, BB respectively. The laws of inheritance are such that the probabilities of the six possible pairs of brothers, instead of being the terms of a trinomial expansion, are: No. of cases Brothers AA, AA (1-0) (2-0) n AA, AB 0(1-0)3 (2-0) AA, BB 16(1-6) AB, AB 6(1-0) (1+0-0) 114 Brothers AB, BB 6 (1-0)2 BB, BB +0 (1+0) Total 1 No. of cases no N A random sample of N pairs of brothers is collected and is found to consist of n, na, ... ne instances of the six types. Obtain an equation for the maximum likelihood estimate of the parameter

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