a. To determine: An equation that describes the equilibrium proportions of genotypes for a gene with three alleles. Introduction: The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

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Answer 1

Question

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

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The equation p + 2pq + q = 1 representing the Hardy-Weinberg proportions examines genes with only two alleles in a population. a. Derive a similar equation describing the equilib- rium proportions of genotypes for a gene with three alleles. [Hint: Remember that the Hardy- Weinberg equation can be written as the binomial expansion (p + q)*.] b. A single gene with three alleles (r, 1", and i) is responsible for the ABO blood groups. Individuals with blood type A can be either A or ^ i; those with blood type B can be either /* 1 or * i; people with AB blood are r*, and type O individuals are ii. Among Armenians, the frequency of ^ is 0.360, the frequency of 1 is 0.104, and the frequency of i is 0.536. Calculate the frequencies of individuals in this population with the four possible blood types, assuming Hardy-Weinberg equilibrium. %3D

The equation p2+ 2pq + q2= 1 representing theHardy-Weinberg proportions examines genes withonly two alleles in a population.a. Derive a similar equation describing the equilibrium proportions of genotypes for a gene withthree alleles. [Hint: Remember that the HardyWeinberg equation can be written as the binomialexpansion (p + q)2.]b. A single gene with three alleles (IA, IB, and i) isresponsible for the ABO blood groups. Individualswith blood type A can be either IA IAor IA i;those with blood type B can be either IB IBor IB i;people with AB blood are IA IB, and type O individuals are ii. Among Armenians, the frequency of IAis0.360, the frequency of IBis 0.104, and the frequencyof i is 0.536. Calculate the frequencies of individuals in this population with the four possible bloodtypes, assuming Hardy-Weinberg equilibrium.In Problems 15–17, you will see that because matingbetween individuals within populations at Hardy-Weinbergequilibrium is random, it is possible to predict…

Example 3.5.7 Fish Vertebrae Consider the distribution of vertebrae given in Table 3.5.1. In Exam- ple 3.5.5 we found that the mean of Y is µy = 21.49. The variance of Y is VAR(Y) = of = (20 – 21.49) x Pr{Y = 20} 21) %3D + (21 – 21.49)? x Pr{Y + (22 – 21.49)? x Pr{Y = 22} + (23 – 21.49) x Pr{Y = 23} = (-1.49) x 0.03 + (-.49) x 0.51 + (0.51) x 0.40 + (1.51)² × 0.06 = 2.2201 x 0.03 + .2401 x 0.51 + .2601 x 0.40 + 2.2801 x 0.06 = 0.066603 + 0.122451 + 0.10404 + 0.136806 = 0.4299. The standard deviation of Y is ay = V0.4299 - 0.6557. %3D

Answer 2

Question

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

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Answer 3

Question

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

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Answer 4

Question

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

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Answer 5

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

Answer 6

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Answer 7

Chapter 20, Problem 14P

Summary Introduction

a.

To determine:

An equation that describes the equilibrium proportions of genotypes for a gene with three alleles.

Introduction:

The set of the alleles in DNA that carries the information for the expression of a trait in an individual is known as its genotype. For example, genotype ‘TT’ expresses the tallness in plants.

Answer 8

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

Answer 9

Summary Introduction

b.

To determine:

The frequencies of individuals with the four possible blood types.

Introduction:

There are four possible blood groups. These are A, B, AB and O. The alleles that code for ABO blood groups are I^A, I^B, and i. The allele I^A codes for blood group A, I^B codes for blood group B and i do not code for any blood group. i allele is found in O blood group. The AB blood group has both I^Aand I^Balleles.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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