On the island of Bilago, on the Planet Ceti Alpha 6, there lives a population of

Question

On the island of Bilago, on the Planet Ceti Alpha 6, there lives a population of armadiles (cross between an armadillo and a crocodile). A portion of these armadiles have small teeth; as a result, they are vegetarian. About 15% of vegetarians on the planet are amradiles. Tooth size is determined by a single autosomal locus with two alleles: T (trait allele) and t (wild type allele). In a recent study, researchers collected the values in the following table:

The T allele frequency in this population is 0.45, and the genotypes are in Hardy-Weinberg proportions at the locus. In a mating of Tt (heterozygous) armadiles, what is the expected proportion of offspring that will have small teeth?

A. 0.067.

B. 0.250.

C. 0.870.

D. 0.342.

E. 0.667.

Table 1. Counts of armadile tooth sizes by genotype Phenotype Genotype Small teeth Standard size (wild type) teeth TT 100 15 Tt 65 10 tt 10 150

Explanation / Answer

The frequency of T allele in the population is 0.45.

The genotypes are in Hardy Weinberg's equilibrium. So, the frequency of t allele is 0.55.

T allele determines the presence of small teeth.

So, the expected proportion of offspring that will have small teeth is,

= p^2 + 2pq

= (0.45)(0.45) + 2(0.45)(0.55)

= 0.2025 + 0.495

= 0.6975

(option E)

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