3. Suppose that a population has three genotypes with P(aa) = 0.16, P(aA) = 0.48 and P(AA) = 0.36. Sample n people at random with replacement. Let X be the number of people with genotype aa and Y be the genotype with number of people with genotype aA. What are the marginal distributions of X and Y? What is the probability that P(X= 5, Y = 3), if n = 10? What is the covariance between X and Y, if n = 1?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Suppose that a population has three genotypes with P(aa) = 0.16, P(aA) = 0.48 and P(AA) = 0.36.
Sample n people at random with replacement. Let X be the number of people with genotype aa and
Y be the genotype with number of people with genotype aA.
What are the marginal distributions of X and Y?
What is the probability that P(X= 5, Y = 3), if n = 10?
What is the covariance between X and Y, if n = 1?
Transcribed Image Text:3. Suppose that a population has three genotypes with P(aa) = 0.16, P(aA) = 0.48 and P(AA) = 0.36. Sample n people at random with replacement. Let X be the number of people with genotype aa and Y be the genotype with number of people with genotype aA. What are the marginal distributions of X and Y? What is the probability that P(X= 5, Y = 3), if n = 10? What is the covariance between X and Y, if n = 1?
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