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You are running a peach farm on western slopes of Colorado. You know that the allele for fuzzy peaches is recessive and that this allele (f) has frequency of 0.7. In a sampling of 500 peaches. How many fuzzy peaches do you expect to find?

User Uygar Y
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1 Answer

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Given that the allele for fuzzy peaches is recessive and has a frequency of 0.7. This means that the frequency of the dominant allele (F) will be (1-0.7) = 0.3.

Let's use the Hardy-Weinberg equation to calculate the expected number of fuzzy peaches in a sample of 500:

p^2 + 2pq + q^2 = 1

where

p = frequency of the dominant allele (F) = 0.3

q = frequency of the recessive allele (f) = 0.7

The genotype frequencies can be calculated as follows:

FF = p^2 = (0.3)^2 = 0.09

Ff = 2pq = 2(0.3)(0.7) = 0.42

ff = q^2 = (0.7)^2 = 0.49

The expected frequency of fuzzy peaches (ff) is 0.49. Therefore, the expected number of fuzzy peaches in a sample of 500 would be:

Number of fuzzy peaches = expected frequency of fuzzy peaches x sample size

= 0.49 x 500

= 245

Therefore, you would expect to find 245 fuzzy peaches in a sample of 500.

User Beki
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