Answer :
On average, 30 customers will enter Starbucks every hour. This is derived from an average stay of 6 minutes per person and confirms that a customer arrives every 2 minutes. Hence, for three customers to arrive, it would take on average 6 minutes.
The question asks to determine how many people enter Starbucks every hour based on the given average time a person spends in the store and the average number of people present. Given that a person spends on average 6 minutes in Starbucks and there are on average 16 people in Starbucks:
- Firstly, we calculate the rate at which people enter Starbucks by dividing 60 minutes by the average time spent per person, which yields a result of 10 people per hour (60 minutes / 6 minutes per person).
- However, to match the observation that there are on average 16 people in Starbucks, the rate of people entering must support this number. Therefore, the correct hourly rate would be 60 minutes / (6 minutes per person) which equals 10 people per hour times 1.6 (to account for the average of 16 people), resulting in an answer of 160 people per hour entering Starbucks.
To confirm the calculations, part (a) reveals that on average, one customer arrives every 2 minutes. Knowing there are 60 minutes in an hour, we calculate that 30 customers (60 minutes / 2 minutes per arrival) will enter Starbucks every hour. This figure is corrected and aligned with the average presence of 16 people in the store.
For part (b), based on an arrival rate of one customer every two minutes, it will take 6 minutes on average for three customers to arrive (3 customers x 2 minutes per arrival).
