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1a). A population of dogs may have brown or white fur. Brown fur is the dominant

ID: 259383 • Letter: 1

Question

1a). A population of dogs may have brown or white fur. Brown fur is the dominant trait and is encoded by the alleles BB or Bb. White dogs have the alleles bb. 16.8% of the population of dogs has white fur. What percentage of the dog population has brown fur? (Give answer as a percentage rounded to the nearest tenth of a percent).

The answer here is 83.2.

1b). What percentage of the dog population above are heterozygotes for the B allele? (Give answer as a percentage rounded to the nearest whole number).

I did the math and got 28% but this is incorrect. Can you show me how to do the correct math?

Explanation / Answer

p = frequency of the dominant allele in the population
q = frequency of the recessive allele in the population
p2 = percentage of homozygous dominant individuals

q2= percentage of homozygous recessive individuals =16.8 % or .168

2pq = percentage of heterozygous individuals

q2= .168 so q= 0.4

p+q=1 (according to hardy wienberg)

therefore p= 1-0.4=0.6

2pq = percentage of heterozygous individuals=

= 2* 0.4*0.6= o.48 or 48%

correct answer is 48%

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