Question

SCB 201 Spring 2 2020 10 HW ench: Mathematical Modeling - Hardy-Weinberg Consider a trat, such as flower color, that is controlled by two alleles that show incomplete dominance Plants with the genotype chave red flowers, plants with the genotype WcWhave white flow follows provides a model to study a small population of plants Althe alleles for flower color from all individuals in this population are placed in a bin The Callele is represented by red balls and the CW represented as a total of 20 balls The allele frequencies of the population are 0.8 (80) and 0.2 (204) Frequencies of alleles pfrequency of Calele-08 4-frequency of Callele-02 Alleles in the population If all of these allelles could be placed in a large bin representing the gene pool 80% would be and 20% would be Assuming mating is random each time two gametes com together, there no chance the 9 carries ac allele and a 200 chat came Gametes produced Each 99 Each sperm 80% chance 20% chance 20% chance chance Olause each sperm has an 80% chance of care anda 20% chance of any Let's review how pand are calculated • Count up all the red balls then count all the white balls what percentage of all the alleles are red? Since 16 of the 20 balls are red, 16:20 a 80% Expressed as a decimal, we could say the frequency . We will follow the convention of using for the frequency of one stele (the dominant allele, if the traitis dominantrecessive) with being the frequency of the recessive altele. Therefore, P = 08 What percentage of the balls are white? Since of the 20 balls are white 420 20% Expressed as a decimal, we could say the frequency of the challele is 02. Therefore, e = 0.2 Type here to search 타
Let's review how p and q are calculated.

Count up all the red balls, then count all the white balls. What percentage of all the alleles are red? Since 16 of the 20 balls are red, 16/20 = 80%. Expressed as a decimal, we could say the frequency of the CR allele is 0.8.We will follow the convention of using p for the frequency of one allele (the dominant allele, if the trait is dominant/recessive), with q being the frequency of the recessive allele. Therefore, p = 0.8.What percentage of the balls are white? Since 4 of the 20 balls are white, 4/20 = 20%. Expressed as a decimal, we could say the frequency of the CW allele is 0.2. Therefore, q = 0.2.“Reproduction” occurs by selecting alleles at random from the bin, such as happens when sea anemone sperm and eggs are released into water. In this process of randomly selecting and combining alleles from the bin (the gene pool), we are in effect assuming that mating occurs at random--that all male-female matings are equally likely. For this population of plants, what percent of the offspring could be predicted to be white (CWCW )? Let’s go through this in steps: What is the frequency of the CW allele? (q = 20%, or 0.2) The probability of producing a CWCW individual is q x q = q 2. (0.2 × 0.2 = 0.04) To convert a decimal to a percentage, multiply it by 100. (0.04 × 100 = 4%)

Using the steps above, calculate the percentage of the offspring you would predict to be homozygous for red flowers (CRCR ). Remember that in this population, the frequency of the CR allele is p. Using the steps above, calculate the percentage of the offspring you would predict to be homozygous for red flowers (CRCR ). Remember that in this population, the frequency of the CR allele is p.

4%. 6.4%. 16%. 64%

Answer 1

According to Hardy Weinberg equilibrium,

p² + q² + 2pq =1,

where p² represents the genotypic frequency of homozygous C^RC^R individuals;

q² represents the genotypic frequency of homozygous C^WC^W individuals and

2pq represents the genotypic frequency of heteroqygous C^RC^W individuals.

The frequency of p allele is 0.8 or 80%.

The probability of producing a C^RC^R individual is p² = p X p = 0.8 X 0.8 = 0.64

So, the percentage of C^RC^R individuals will be 0.64 X 100= 64%