Q95 — Hardy-Weinberg Calculations for Familial Mediterranean Fever
Familial Mediterranean Fever (FMF) is a genetic disorder commonly associated with Eastern Mediterranean populations. A genetic segregation analysis of some of the Armenian populations showed that the frequency of the underlying autosomal recessive allele is roughly 0.073.
Using this data, and assuming Hardy-Weinberg equilibrium, determine whether the following statements are true or false. In your calculations, round the final answers to the nearest integer.
A. On average, approximately 1 in 188 individuals in this population has FMF.
B. In a random sample of 100 people from this population, we can expect approximately 7 carriers.
C. In a random sample of 63 married couples from this population, we can expect 8 couples, where at least one partner is a carrier.
D. The child of a carrier and a non-symptomatic individual of unknown genotype from this population has a 1 in 29 probability of having the disease.
Question reproduced from IBO 2022, Theoretical Paper 2, licensed under CC BY-NC-SA 4.0 — attributed to the International Biology Olympiad. Open the full exam PDF · Community solutions (unofficial)