I need help solving these genetics questions

A wildflower native to California, the dwarf lupin (Lupinus nanus) normally bears blue flowers but occasionally bears pink flowers. Flower color is controlled by a single diploid locus, with the blue allele (B) completely dominant over the pink allele (b). In a wild population of lupins, there are 50 pink lupins and 3291 blue lupins, for a total of 3341.

1) Calculate the genotype and allele frequencies of this population, assuming that the population is in Hardy-Weinberg equilibrium. Show the answers in three significant figures. (0.2 pts each)

Genotype frequency of bb (i.e. the frequency of pink flowers in the population) assuming Hardy-Weinberg equilibrium:

q2 = ________

Frequency of allele b assuming Hardy-Weinberg equilibrium:

q = ________

Frequency of allele B assuming Hardy-Weinberg equilibrium:

p = ________

Genotype frequency of BB assuming Hardy-Weinberg equilibrium:

p2 = ________

Genotype frequency of Bb assuming Hardy-Weinberg equilibrium:

2pq = ________

2) Seed pods, which is an indicator of fecundity, was counted from the blue and pink lupins in the population. Based on the data, the **relative fitness** of each genotype were determined to be as follows:

ωBB = 1 ωBb = 1 ωbb = 0.667

Given these data, what can you say about how well blue lupins survive and reproduce compared to pink lupins in this environment? (1 pt)

Now, you want to predict how the composition of the lupin population will change over time due to natural selection.

3) First, calculate the **mean relative fitness** of the parental population using the provided **relative fitness** and** genotype frequencies** that you calculated above. Show the answer in three significant figures. Show your work (1 pt)

ϖ =

4) Next, use the **current genotype frequencies**, **relative fitness** and the **mean relative fitness** to calculate the genotype frequencies expected to be found in the next generation. Show the answer in three significant figures. Show your work. (0.67 pts each, total 2 pts)

p2′ =

2pq’ =

q2′ =

5) Which phenotype of the flower color does natural selection favor in this environment? How can you tell? (1 pt)

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