i need the answer quickly EXERCISE✓In Example A we showed that if X₁, X2,..., Xn constitute a random sample from aYn is an unbiased estimator of B.n+1uniform population with a = 0, then(a) Show that 2X is also an unbiased estimator of B.(b) Compare the efficiency of these two estimators of B.al show that ză is also an un biased estimater of BAccording to the properties of samplemean1-8× = M2- var(x) = 6populationwher Mis thenmeanDr. Asieh Abtahi - Faculty of Mathematics and Statistics -Islamic Azad University of Shiraz - Iranof populationand o? is the variance2051[F

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Answered: EXERCISE In Example A we showed that if…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 44EQ

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?

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EXERCISE In Example A we showed that if X₁, X2,..., Xn constitute a random sample from a n+1 Yn is an unbiased estimator of B. uniform population with a = 0, then n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B.