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1. The Kermode (Spirit) bear sub-population of black bears is estimated to include ~1300 individuals that reside along the western coast of British Columbia, Canada. Approximately 20 percent of the bears on Princess Royal & Gribbell Islands are white; the rest are black. Assuming complete dominance of the black coat color, calculate the expected genotype frequencies, where B = black coat color, and W = white coat color. 2 points for each genotype frequency

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Answer:

Frequency of homozygous dominant genotype BB (p2) = 0.3025

Frequency of heterozygous dominant genotype Bb (2pq) = 0.495

Frequency of homozygous recessive genotype (white) in the population = 0.2

Explanation:

20% of the bears are white.

20% of 1300 = 260

Frequency of homozygous recessive genotype (white) in the population (q2)= 260 /1300= 0.2

Frequency of recessive allele W (q) = square root of 0.2 =  0.45

Since p+q =1

Frequency of dominant allele B (p)= 1-0.45 = 0.55

Frequency of homozygous dominant genotype BB (p2) = 0.55 x  0.55 = 0.3025

Frequency of heterozygous dominant genotype Bb (2pq) = 2 x 0.55 x 0.45 = 0.495