The university is evaluating the installation of permanent COVID testing stations at JSOM.

Assume there will be one single queue for all of the testing stations and that only one person is tested at a station at a time. JSOM students will only be allowed to test for COVID at the JSOM testing sites.

The university estimates that there will be 3.82 arrivals per minute on average to the testing stations, with a standard deviation of the time between arrivals of 20 seconds.

The average time a person spends at a testing station is 2.07 minutes with standard deviation of 2 minutes.

What is the minimumnumber of testing stationsthat the university must install to ensure that the queue length will not continue to grow without limit (i.e., so that the queue will be stable)? Report your answer as an integer.