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(Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where allele A has frequency 0 € (0, 1) in the population. That is, a random copy of the gene is A with probability and a with probability 1-0. Since a diploid genotype consists of two genes, the probability of each genotype is given by: genotype AA Aa aa probability ² 20(1 – 0) (1 – 0)² Suppose we test a random sample of people and find that n₁ are AA, n₂ are Aa, and n are aa. Find the maximum likelihood estimator ên. Make sure to verify that it is indeed maximizing, by computing the second derivative of the function you are maximizing.

(Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where allele A has frequency 0 € (0, 1) in the population. That is, a random copy of the gene is A with probability and a with probability 1-0. Since a diploid genotype consists of two genes, the probability of each genotype is given by: genotype AA Aa aa probability ² 20(1 – 0) (1 – 0)² Suppose we test a random sample of people and find that n₁ are AA, n₂ are Aa, and n are aa. Find the maximum likelihood estimator ên. Make sure to verify that it is indeed maximizing, by computing the second derivative of the function you are maximizing.

A First Course in Probability (10th Edition)
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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(Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where allele A has frequency 0 (0, 1) in the population. That is, a random copy of the gene is A with probability and a with probability 1-0. Since a diploid genotype consists of two genes, the probability of each genotype is given by: genotype AA Aa aa probability 0² 20(1-0) (1 - 0)² Suppose we test a random sample of people and find that n₁ are AA, n₂ are Aa, and n are aa. Find the maximum likelihood estimator ên. Make sure to verify that it is indeed maximizing, by computing the second derivative of the function you are maximizing.
Transcribed Image Text:(Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where allele A has frequency 0 (0, 1) in the population. That is, a random copy of the gene is A with probability and a with probability 1-0. Since a diploid genotype consists of two genes, the probability of each genotype is given by: genotype AA Aa aa probability 0² 20(1-0) (1 - 0)² Suppose we test a random sample of people and find that n₁ are AA, n₂ are Aa, and n are aa. Find the maximum likelihood estimator ên. Make sure to verify that it is indeed maximizing, by computing the second derivative of the function you are maximizing.
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