02:37:00
MDBK-084 1. In a gene mapping study, the following numbers of individuals were observed for the phenotypes of a recessive and dominant allele within a population: homozygous recessive = 410, heterozygous = 500, homozygous dominant = 390. Calculate the proportion of each of these phenotypes within the population.
**Solution:**
First, find the total number of individuals in the population:
[ 410 + 500 + 390 = 1800 ]
Now calculate the proportion of each phenotype:
- homozygous recessive:
[ frac{410}{1800} = 0.227 ]
- heterozygous:
[ frac{500}{1800} = 0.278 ]
- homozygous dominant:
[ frac{990}{1800} = 0.55 ]
**Answer:**
The proportion of homozygous recessive individuals is 0.227, heterozygous is 0.278, and homozygous dominant is 0.55.
2. In a certain population, the frequency of a dominant allele is 0.5. A given gene has two different alleles, P and p. Determine the frequency of the allele p in the population.
**Solution:**
Since the sum of the frequencies of the two alleles is 1, the frequency of the recessive allele is:
[ p = 1 - 0.5 = 0.5 ]
**Answer:**
The frequency of the recessive allele p is 0.5.
3. The frequencies of two alleles in populations are 0.80 and 0.20. Determine the probability of the two alleles being homozygous within the population.
**Solution:**
Since there are two alleles, the probability of being homozygous for either allele is the square of the frequency of that allele:
[ left(0.80
ight)^2 + left(0.20
ight)^ = 0.640 + 0.040 = 0.680 ]
**Answer:**
The probability of the two alleles being homozygous within the population is 0.680.
4. The numbers of males and females in a population are 300 and 400, respectively. Calculate the number of males per female in the population.
**Solution:**
Before performing the calculation, convert the numbers of males and females into percentages:
[ frac{300}{300} = 1.0 ]
[ frac{400}{400} = 1.0 ]
Now perform the calculation:
[ frac{1.0}{1.0} = 1.0 ]
**Answer:**
The number of males per female in the population is 1.0.
5. The frequencies of different phenotypes in a population are 0.20, 0.50, and 0.30. Calculate the probability of detecting any of these phenotypes within the population.
**Solution:**
Since there are three phenotypes, the probability of detecting any of them is the product of their frequencies:
[ 0.20 imes 0.50 imes 0.30 = 0.060 ]
**Answer:**
The probability of detecting any of these phenotypes within the population is 0.060.
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14 Feb 2020
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