Question

in order to estimate attendance at a music festival, management counts the number of people entering the admissions gate in a 30-minute sample time. management assumes that there is a steady stream of people entering the festival for the 10 hours that the admissions gate is open. at a particular music festival, 2,250 people were counted entering the gate in a 30-minute sample time. what was the estimated attendance at this festival?

Answer 1

45,000

Explanation:

Given a 30 minute sample of a constant stream shows 2250 people entered the gate, you want an estimate of the total number of people through the gate in 10 hours.

Attendance

A half-hour period is 1/20 of the 10-hour period the gate was open. The rate is assumed constant, so the 2250 people entering in that half-hour period is presumed to be 1/20 of the total attendance.

20 · 2250 = 45000

The estimated festival attendance is 45,000 people.