Answer:
The total number of students at the local college=1,900 students
Explanation:
Step 1
Determine proportion of sample that are students and professors as shown;
professors=total number of professors/sample size
where;
total number of professors=3
sample size=60
replacing;
professors proportion=3/60=1/20
Students proportion=total number of students/sample size
total number of students=sample size-total number of professors
total number of students=60-3=57
sample size=60
replacing;
Students proportion=57/60=19/20
Step 2
Determine how many students are at the local college;
Number of students=students proportion×total number of people at local college
where;
students proportion=19/20
total number of people at local college=2,000
replacing;
Number of students=(19/20)×2,000=1,900 students
The total number of students at the local college=1,900 students