100 U.S. scientist become stranded at a climate-change research station on the c

Question

100 U.S. scientist become stranded at a climate-change research station on the continent of Antartica. Four of the scientist are carriers of PKU allele, which in homozygous condition results in a metabolic disorder where individuals cannot breakdown the amino acid, phenylalanine.

A) What percent of scientist at the research station are carriers of PKU allele?

B) Assuming the frequency of PKU recessive allele doesnt change as the population grows, what will be the frequency of the recessive PKU allele in the research station population?

C) if the population at the research station randomly mated, what would be the expected frequency of the PKU disorder?

D) if one in 10,000 babies in the U.S. is born with PKU, what would be the frequency of PKU in the U.S.?

E) How much greater is the frequency of PKU in the population at the research station than in the U.S.?

F) what percent of the U.S. population is likely to be a carrier for the PKU allele?

G) How much greater is the percentage of PKU carriers in the research station population than in the U.S. population?

Explanation / Answer

A) Since 4 out of hundred scientist have PKU allele 4/100 = 4% of scientist are carriers of PKU allele.

B) Population size = 100; 4% is heterozygous; Hence 2pq = 0.04

Since the frequency does not change the frequency for PKU allele in the research station will be zero.

C)If the population randomly mated, the frequency of heterozygous for PKU will increase.

d) If one in 10,000 babies in U.S is born with PKU, the frequency of PKU in U.S will be 1/10000 x 100 =0.01%.

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