In the year 2500, five male space colonists and five female space colonists (all unrelated to each other) settle on an uninhabited Earthlike planet in the Andromeda galaxy. The colonists and their offspring randomly mate for generations. All ten of the original colonists had free earlobes, and two were heterozygous for that trait. The allele for free earlobes is dominant to the allele for attached earlobes. If one assumes that Hardy-Weinberg equilibrium applies to the population of colonists on this planet, about how many people will have attached earlobes when the planet's population reaches 10,000

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mickymike92 mickymike92 · Answer 1 · 2021-03-25T03:05:54+01:00

Answer:

100 individuals will have attached earlobes out of a population of 10000

Explanation:

From the Hardy-Weinberg equilibrium; p² + 2pq + q². Also, p + q = 1

p² = population of individuals breeding true for free earlobes

2pq = population of individuals heterozygous for free earlobes

q² = population of individuals breeding true for attached earlobes

p = frequency of dominant allele

q = frequency of recessive allele

The dominant trait is free earlobes while the recessive trait is attached earlobes.

Eight out of ten are breed-true for free earlobes, whereas, two were heterozygous for that trait.

p² = 8/10 = 0.8

p = 0.89 or approximately 0.9

q = 1 - p

q = 1 - 0.9

q = 0.1

q² = (0.1)²

q² = 0.01

For a population of 10000 persons, number of people with attached earlobes will be:

0.01 * 10000 = 100 persons

Therefore, 100 individuals will have attached earlobes out of a population of 10000