Final Answer:
The probability of allele 3 for d3s1358 in the sample (individuals 2-15) is 0.25.
Step-by-step explanation:
In the given sample of individuals (2-15), the allele distribution for d3s1358 is as follows:
- Individual 2: 3/3
- Individual 3: 2/3
- Individual 4: 2/3
- Individual 5: 2/3
- Individual 6: 1/3
- Individual 7: 1/3
- Individual 8: 1/3
- Individual 9: 1/3
- Individual 10: 1/3
- Individual 11: 1/3
- Individual 12: 1/3
- Individual 13: 1/3
- Individual 14: 1/3
- Individual 15: 1/3
To calculate the probability of allele 3, we sum up the occurrences of allele 3 and divide by the total number of individuals. In this case, there are 4 occurrences of allele 3 out of 14 individuals:
![\[ P(\text{allele 3}) = (4)/(14) = (2)/(7) \approx 0.2857 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/g0dcqgphr76ukrb2xrzz7ykfo51bl88e44.png)
Therefore, the probability of allele 3 for d3s1358 in the given sample is approximately 0.25.
This calculation is crucial in genetic analysis, providing insights into the frequency of specific alleles within a population. A lower probability might suggest less diversity or recent common ancestry, while a higher probability could indicate a more diverse gene pool. Understanding allele probabilities is fundamental in forensic science, paternity testing, and population genetics, contributing to the broader understanding of human genetic variation.