The question asks to identify a random sampling method from the given options.

Random Sampling Method Identification

Random sampling methods ensure that every member of the population has a known, non-zero chance of being selected for the sample. This helps in reducing bias.

Analysis of Options

• Quota Sampling: This is a non-random sampling method. Researchers set quotas for specific subgroups and then select participants non-randomly until quotas are met.
• Purposive Sampling: This is also a non-random method. The researcher uses their judgment to select participants who they believe are most suitable for the study's purpose.
• Systematic Sampling: This is a random sampling method. It involves selecting elements from a larger population list at a regular interval (k). The first element is selected randomly, and then every k-th element is chosen thereafter. For example, selecting every 10th person from a list after a random start between 1 and 10.
• Cluster Sampling: This method involves dividing the population into groups (clusters), randomly selecting entire clusters, and then sampling all individuals within the selected clusters. While it involves random selection of clusters, it's a different type of probability sampling than systematic sampling.

Conclusion

Based on the definitions, Systematic Sampling is a recognized random sampling technique where selection is based on a random start followed by a fixed, periodic interval.

The correct option is C.