Hardy Weinberg Cystic fibrosis is a recessive condition that

Hardy Weinberg

Cystic fibrosis is a recessive condition that affects about 1 in 2, 500 babies in the Caucasian population of the United States. Assuming HWE, please calculate the following. The frequency of the recessive allele in the population. The frequency of the dominant allele in the population. The percentage of heterozygous individuals (carriers) in the population. In a given population, only the \"A\" and \"B\" alleles are present in the ABO system; there are no individuals with type \"O\" blood or with O alleles in this particular population. If 200 people have type A blood, 75 have type AB blood, and 25 have type B blood, what are the alleleic frequencies of this population (i.e., what are p and q)?

Solution

Answer:

3).

The frequency of cystic fibrosis population (q2) = 1/2500 = 0.0004

The frequency of recessive allele (q) = 0.02

p+q =1

p = 1-q=1-0.02 = 0.98

The dominant allele frequency (p) = 0.98

The frequency of heterozygosity = 2pq = 2 * 0.98 * 0.02 = 0.04

The frequency of heterozygous individual = 0.04 & 2500 = 100

4).

The type A population frequency (p2)= 200/300 = 0.67

The type A population frequency (p)= 0.81

The type B population frequency (q2)= 25/300 = 0.08

The type B population frequency (q)= 0.29