Brown fur stripes (autosomal recessive) is found in 13% of the squirrels in Yell

Question

Brown fur stripes (autosomal recessive) is found in 13% of the squirrels in Yellowstone National Park. Black is the dominant stripe color. Answer the following questions about this population, assuming this population of squirrels is in Hardy-Weinberg equilibrium with respect to fur stripes.

a) What are the frequencies of the brown stripe (b) and black stripe (B) alleles?
b) What is the frequency of heterozygotes?
c) In the next generation, what is the proportion of heterozygote matings? (Hint: You will need to use the product rule.)
d) In the next generation, what proportion of squirrels will be brown stripe progeny resulting from heterozygote matings? (Hint: You will need to use the product rule.)

Explanation / Answer

a. b2= 0.13, b= sqrt of 0.13 is 0.36

B= 1-b= 1-0.36= 0.64

b. The frequency of heterozygotes is 2bB

2 x 0.36 x 0.64= 0.46

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