Zoe Nous II Jack Jill F? Tracer Queenie The Golden Retriever dog breed was established by Lord Tweedmouth in England in 1868. He started with a mating between a Tweed Water Spaniel named Zoe and a wavy-coated retriever named Jack. Their descendants Nous II and Queenie were the parents of the original Golden Retriever litter, represented here by a single male offspring. Hip dysplasia in a common problem in many dog breeds. Assume for the purposes of this question that this condition is recessive trait determined by alleles of a single gene with only two alleles in the population (a = recessive hip dysplasia allele, and A = dominant wild type allele). If the frequency of the recessive hip dysplasia allele in the dog populations that Zoe and Jack came from is 0.16, what is the probability that puppies in the first Golden Retriever litter (e.g. the son of Nous II and Queenie) had hip dysplasia? Calculate the inbreeding coefficient for this dog and factor that into your calculation. Show your work for full credit (you don't need to show an annotated pedigree though - just type your calculations in the text box).

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Zoe
Nous II
Jack
Jill
F?
Tracer
Queenie
The Golden Retriever dog breed was established by Lord Tweedmouth in
England in 1868. He started with a mating between a Tweed Water Spaniel
named Zoe and a wavy-coated retriever named Jack. Their descendants Nous II
and Queenie were the parents of the original Golden Retriever litter, represented
here by a single male offspring.
Hip dysplasia in a common problem in many dog breeds. Assume for the
purposes of this question that this condition is recessive trait determined by
alleles of a single gene with only two alleles in the population (a = recessive hip
dysplasia allele, and A = dominant wild type allele). If the frequency of the
recessive hip dysplasia allele in the dog populations that Zoe and Jack came
from is 0.16, what is the probability that puppies in the first Golden Retriever
litter (e.g. the son of Nous II and Queenie) had hip dysplasia? Calculate the
inbreeding coefficient for this dog and factor that into your calculation. Show
your work for full credit (you don't need to show an annotated pedigree though -
just type your calculations in the text box).
Transcribed Image Text:Zoe Nous II Jack Jill F? Tracer Queenie The Golden Retriever dog breed was established by Lord Tweedmouth in England in 1868. He started with a mating between a Tweed Water Spaniel named Zoe and a wavy-coated retriever named Jack. Their descendants Nous II and Queenie were the parents of the original Golden Retriever litter, represented here by a single male offspring. Hip dysplasia in a common problem in many dog breeds. Assume for the purposes of this question that this condition is recessive trait determined by alleles of a single gene with only two alleles in the population (a = recessive hip dysplasia allele, and A = dominant wild type allele). If the frequency of the recessive hip dysplasia allele in the dog populations that Zoe and Jack came from is 0.16, what is the probability that puppies in the first Golden Retriever litter (e.g. the son of Nous II and Queenie) had hip dysplasia? Calculate the inbreeding coefficient for this dog and factor that into your calculation. Show your work for full credit (you don't need to show an annotated pedigree though - just type your calculations in the text box).
Expert Solution
Step 1: Calculate the genotype of Zoe and Jack.

The frequency of the recessive hip dysplasia allele (a) in the dog populations that Zoe and Jack came from is 0.16. This means that the frequency of the dominant wild type allele (A) is 1 - 0.16 = 0.84.


Zoe and Jack are both heterozygous for the hip dysplasia allele, meaning that they each have one copy of the recessive allele (a) and one copy of the dominant allele (A). We can calculate this as follows:


P( Zoe is heterozygous) = 0.16 * 0.84 = 0.1344

P( Jack is heterozygous) = 0.16 * 0.84 = 0.1344

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