Astudent was given an assignment to determine the percentage of students that brought a bag lunch to school. the student chose 5 random classrooms and surveyed every student in those classrooms. which type of sampling did the student use?
a. convenience
b. systematic
c. stratified
d. cluster

D. cluster

Step-by-step explanation:

A cluster sampling is a random sampling method in which a researcher splits the entire population into separate groups known as clusters.Then, he draw a random sample of clusters from the population.

After this he performs his analysis on data from the sampled clusters.

Given: A student was given an assignment to determine the percentage of students that brought a bag lunch to school. The student chose 5 random classrooms and surveyed every student in those classrooms.

Here classes is denoted as clusters and the student as researcher.

Hence, the cluster sampling is used by the student.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.