1. If there are 23 rock pocket mice with dark-colored fur and 4 with light-color

Question

1. If there are 23 rock pocket mice with dark-colored fur and 4 with light-colored fur in a population, what is the value of q? Remember that light-colored fur is recessive, and you can assume that the population is in equilibrium. (Answer should be rounded to 3 decimal places. In case the last decimal place is a 0, you can leave it out)

2. If the frequency of p in a population is 0.35, what is the frequency of q? (Answer should be rounded to TWO decimal places. In case the last decimal place is a 0, you can leave it out)

3.In a population of 1,000 rock pocket mice, 452 have dark-colored fur. The others have light-colored fur. If the population is at Hardy-Weinberg equilibrium, what percentage of mice in the population are homozygous dominant, dark-colored mice? (Answer should be rounded to 3 decimal places. In case the last decimal place is a 0, you can leave it out) Be sure to format your answer as a decimal.  For example 49% would be 0.490.

Explanation / Answer

1). Hardy and Weinberg also described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is, p2 + 2pq + q2 = 1.0

Where,

p2 = proportion of homozygous dominant individuals

q2 = proportion of homozygous recessive individuals

2pq = proportion of heterozygotes.

The number of mice with light coloured (recessive) fur, q2 = 4.

The proportion of recessive alleles, q2 = 4/ 27 = 0.148; q = 0.384

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