A Model for Genotypes 2/2 points (graded) In a simple model of inheritance, a given person has genotypes AA, aa or Aa. Each person has two alleles (each of which is either a or A), and the first and the second allele are inherited independently and are identically distributed. Note that Aa is the same as aA: the order of alleles does not matter. Therefore P (AA) = 02, \\P(aa) = (1 -0) where o e (0, 1) is an unknown parameter. 1) What is P (Aa) in terms of @? P (Aa) = 2*theta*(1-theta) 2 . 0 . (1 - 013 2) Define the random vector X" = {0, 1} associated to a random person with genotype g by (1,0,0) ifg = AA X = (0, 1,0) ifg = aa ( (0, 0, 1) ifg = Aa What is the pmfp (x) of X for a = (21, x2, x3) E { (1, 0, 0) , (0, 1, 0) , (0, 0, 1)}? Op(x) = (0)221 (1 - 0)272 [20 (1 - 0) ]*3 O p(x) = (0)273 (1 -0)21 120 (1 - 0)132 Op(x) = 0 (1 - 0) 1 -2 O p(x) = (02)21 (1 -92) 23 (1 -20) 3 O p(x) = (1 -0)221 (0) 272 (120 (1 - 0)]23 ?) STANDARD NOTATION Submit You have used 1 of 3 attempts Save MLE for Genotypes 0/1 point (graded) A sample of 942 males from Zimbabwe was collected, and the following genotypes were observed: 501 of type AA, 83 of type aa and 358 of type Aa. Compute the maximum likelihood estimate for 0. AMLE 0.017809