2. Recall the Hardy-Weinberg equilibrium model from the lecture. Suppose that a population has three genotypes with P(aa) = 0.09, P(aA) = 0.42, and P(AA) = 0.49. Sample n people at random with replacement. Let X be the number of people with genotype aa and Y be the number of people with genotype aA. (a) What are the marginal distributions of X and Y? (b) What is the probability P(X = 4, Y = 4) for n = 10? (c) What is the covariance between X and Y for n = 1