3genotypes aa aa and aa occur with probabilities 1 2 3 for

3. Genotypes AA, Aa and aa occur with probabilities (?1, ?2, ?3). For n=3 independent observations, the observed frequencies are (n1, n2, n3).

a. Explain how you can determine n3 from knowing n1 and n2. Thus, the multinomial distribution of (n1,n2,n3) is actually two-dimentional.

b. Show the set of all possible observations, (n1,n2,n3) with n=3

c. Suppose (x1,x2,x3) = (0.25,0.5,0.25). Find the multinomial probability that (n1,n2,n3)=(1,2,0).

d. Refer to (c). What probability distribution does n1 alone have? Specify the values of the sample size index and parameter for that distribution

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3genotypes aa aa and aa occur with probabilities 1 2 3 for : 3.genotypes aa aa and aa occur with probabilities ?1 ?2 ?3. for n3 independent observations the observed frequencies

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