Determine which sampling method was used in each scenario.

on a particular day 5 flights are selected at random and all of the passengers on these 5 flights are screened.

Airport security uses a random number generator to determine the next passenger to screen.

To determine which sampling method was used in each scenario, we need to understand the different types of sampling methods commonly used in research and data collection.

The two sampling methods described in the scenarios are:

1. Scenario 1: "On a particular day, 5 flights are selected at random and all of the passengers on these 5 flights are screened."

This scenario represents a type of sampling known as Cluster Sampling. In cluster sampling, the population is divided into groups or clusters, and a random sample of these clusters is selected. In this case, the clusters are the flights, and all passengers on the selected flights are screened.

2. Scenario 2: "Airport security uses a random number generator to determine the next passenger to screen."

This scenario represents a type of sampling called Simple Random Sampling. Simple random sampling involves selecting individuals randomly from the population, ensuring that every individual has an equal chance of being selected. In this case, the airport security is using a random number generator to select passengers for screening, which is a random selection process.

In summary:
- Scenario 1 represents Cluster Sampling, as the flights are the clusters and all passengers on the selected flights are included.
- Scenario 2 represents Simple Random Sampling, as the random number generator is being used to select passengers for screening, ensuring equal chances for selection.