Genetics of Flower Color in Tulips

What is the frequency of the purple and pink alleles in the field population of tulips? And, Estimate the proportion of all purple flowering plants that are heterozygotes and homozygotes. Answer:

Explanation: In this field population, the purple allele (C) is dominant to the pink allele (c). Let's denote the frequency of the purple allele (C) as p and the frequency of the pink allele (c) as q. We know that p + q = 1.

To find the frequency of the pink allele (q), we calculate the proportion of pink flowers in the sample. The proportion of pink flowers is 153 out of 1000, which is 0.153. This is also the frequency of the genotype cc (q^2). Therefore, q = √0.153 ≈ 0.3912. Now, we can find the frequency of the purple allele (p) using the formula p = 1 - q. Thus, p = 1 - 0.3912 = 0.6088.

For the proportion of all purple flowering plants that are heterozygotes and homozygotes, we look at the proportion of purple flowers in the sample. The proportion of purple flowers is 847 out of 1000, which is 0.847. This represents both the frequency of the genotype CC and Cc, which are heterozygotes and homozygotes, respectively.

Frequency of Purple and Pink Alleles:

In the field population of tulips, the frequency of the purple allele (C) is approximately 0.6088, while the frequency of the pink allele (c) is around 0.3912. This suggests that the purple allele is more common in this population compared to the pink allele.

Proportion of Heterozygotes and Homozygotes among Purple Flowering Plants:

For the proportion of all purple flowering plants that are heterozygotes and homozygotes, we found that approximately 84.7% of the purple flowering plants fall into these categories. This indicates that the purple flowering plants exhibit genetic diversity in terms of their flower color alleles, with some being heterozygous (Cc) and others being homozygous dominant (CC).

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