Can someone explain how to answer these questions given the different variables given? I have a test soon.

Dr. Martin Brenner and his team have built a space ship which can travel at the speed of light
(186,000 miles per second) and travel to parallel dimensions. Dr. Brenner is interested in the
population genetics of a unique species in the Upside Down dimension. Using his space ship,
he travels to the past 11 million years to execute his research and study a population of
Demogorgon draconems, the other world’s only species. It weighs 7000 kg (15,432 lb) and
has six stages of development from larva to adult. The adult species skin color changes from
blue (dominant) and grey (recessive). Assume the population is in Hardy-Weinberg
equilibrium. Dr. Brenner observed 111 blue Demogorgon draconems and 69 grey
Demogorgon draconems during his study.
A. Calculate the frequency of the blue allele in the population?
B. How many of the animals were heterozygous?
C. Calculate the frequency of the homozygous recessive genotype?
On a second trip to the Upside Down, he observed 1001 Demogorgons.
A. How many do you think will be grey assuming Hardy-Weinberg equilibrium?
B. How many do you think will be blue assuming Hardy-Weinberg equilibrium?
C. How many of the blue animals are homozygous for the dominant allele?

Blue are hetro, and homozygous.

grey are homozygous,
BgxBg, freq of BB is .25, gg is .25, and Bg is .50 at equilibrium.

a. freqBlue=111/180
b. and 1/3 the blue(BB, Bg,Bg)+all grey are home=111/3+55= ....
c. freqHomorecessive=2/3*111+69

a. 1001*.25
b. 3/4*1001
c. 1/3*3/4*1001

https://en.wikipedia.org/wiki/File:Hardy-Weinberg.svg

For Part 1:

A. I did 111+69=180... 69/180=0.383. Square root that to get 0.619. Plug in that answer for q into eq'n p+ 0.619= 1. P=0.381

So, the rest of the problem would have different answers. So which one is correct?

In a population ofDemogorgon draconemsthat are mating randomly,11percent of the Demogorgonshave purple scales(purple is anautosomal recessive(p) trait) and 89 percent have yellow scales(the normal colorP). Assume the population is inHardy-Weinberg equilibrium.A.Calculate theallelic frequencies ofPandpand B.Calculate the genotypic frequencies ofP/ PandP/ p?

The other question is the second problem. Not sure how to derive at the answer. Could you help with this as well?

a, p=0.38

b, 2pq=0.48, 0.48*180=87

To answer these questions, we need to use some basic principles of population genetics, specifically the Hardy-Weinberg equilibrium. The Hardy-Weinberg equilibrium is a principle that states that in a population, the allele and genotype frequencies will remain constant from one generation to the next in the absence of other influences such as mutation, migration, or natural selection.

Let's go step by step to answer each question:

A. Calculate the frequency of the blue allele in the population.

To calculate the frequency of the blue allele, we need to determine the total number of alleles in the population and the number of blue alleles specifically.

The total number of alleles can be calculated by multiplying the number of individuals by 2 (since each individual has 2 alleles).

Total number of alleles = Number of individuals × 2

In this case, there are 111 blue Demogorgons observed, so the total number of blue alleles = 111 × 2 = 222.

To calculate the frequency of the blue allele, divide the total number of blue alleles by the total number of alleles in the population.

Frequency of the blue allele = Number of blue alleles / Total number of alleles

Frequency of the blue allele = 222 / (222 + 69)

B. How many of the animals were heterozygous?

To determine the number of heterozygous animals, we need to subtract the number of individuals with homozygous genotypes from the total number of individuals in the population.

Total number of individuals = Number of blue individuals + Number of grey individuals
Number of heterozygous individuals = Total number of individuals - (Number of blue individuals + Number of grey individuals)

In this case, we have the number of blue individuals (111) and the number of grey individuals (69), so we can calculate the number of heterozygous individuals.

C. Calculate the frequency of the homozygous recessive genotype.

To calculate the frequency of the homozygous recessive genotype, divide the number of individuals with the homozygous recessive genotype by the total number of individuals in the population.

Frequency of the homozygous recessive genotype = Number of grey individuals / Total number of individuals

For the second set of questions, we are given the total number of Demogorgons observed (1001). We can use the same principles to make predictions assuming Hardy-Weinberg equilibrium.

A. How many do you think will be grey assuming Hardy-Weinberg equilibrium?
B. How many do you think will be blue assuming Hardy-Weinberg equilibrium?
C. How many of the blue animals are homozygous for the dominant allele?

For these questions, we need to apply the frequencies calculated above to the total number of individuals for predictions.

A. Number of grey individuals = Frequency of the grey allele × Total number of individuals
B. Number of blue individuals = Frequency of the blue allele × Total number of individuals
C. Number of homozygous blue individuals = Frequency of the blue allele × Frequency of the blue allele × Total number of individuals

By substituting the frequencies and the total number of individuals, we can calculate the respective answers.

I hope this explanation helps you understand how to approach and answer these questions. Good luck on your test!