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1) Find p and F for a population with genotype frequencies 0.39, 0.42, and 0.19

ID: 204031 • Letter: 1

Question

1) Find p and F for a population with genotype frequencies 0.39, 0.42, and 0.19 for the A1A1, A1A2, and A2A2 genotypes, respectively.

2 )Calculate F for an offspring from mating between first cousins. Show the pedigree and the calculation. With two alleles and p = 1/2, what are the expected genotype frequencies in a random mating population and among the offspring of first cousins? How much is heterozygosity decreased in the inbred population relative to the random mating population?

Show work for both Please.

Explanation / Answer

p = A1, q = A2.

The p and q values are (Allele frequency estimation):

Genotype

Freequency

Allele A1

Allele A2

Total

A1 A1

0.39

0.78

0

0.78

A1 A2

0.42

0.42

0.42

0.84

A2 A2

0.19

0

0.38

0.38

Total

1

1.2

0.8

2

Allele A1 or p

= 1.2/2 =

0.60

Allele A2 or q

= 0.8 /2 =

0.40

F = A1A1 - P^2/ pq

= 0.39 - 0.36/ 0.24

= 0.03/ 0.24 = 0.125

Genotype

Freequency

Allele A1

Allele A2

Total

A1 A1

0.39

0.78

0

0.78

A1 A2

0.42

0.42

0.42

0.84

A2 A2

0.19

0

0.38

0.38

Total

1

1.2

0.8

2