Find out the number of dominant individual in a population of 6000, if the frequency of recessive phenotype is 25%

Options

A. 3000
B. 4500
C. 1500
D. 2000

Answer

To solve the problem of finding the number of dominant individuals in a population of 6000, given that the frequency of the recessive phenotype is 25%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given data**:
- Total population = 6000
- Frequency of recessive phenotype = 25%

2. **Convert the recessive phenotype frequency to a decimal**:
- Since 25% is given, we can convert this percentage into a decimal for calculations.
- Recessive phenotype frequency (q) = 25/100 = 0.25

3. **Calculate the frequency of the dominant phenotype**:
- The frequency of the dominant phenotype (p) can be calculated using the formula p + q = 1.
- Therefore, p = 1 - q = 1 - 0.25 = 0.75.

4. **Calculate the number of dominant individuals**:
- To find the number of dominant individuals in the population, we multiply the total population by the frequency of the dominant phenotype.
- Number of dominant individuals = Total population × p = 6000 × 0.75 = 4500.

5. **Conclusion**:
- The number of dominant individuals in the population is 4500.

### Final Answer:
The number of dominant individuals in the population is **4500**.