Hello! Please see Multi-Step Question below. It has the answers, can you please explain the work done to get there, including all formulas necessary and where the numbers came from?

Please do not post answer like this one, https://www.chegg.com/homework-help/questions-and-answers/3-southwest-terminal-lax-passengers-required-check-go-tsa-security-screening-going-flight--q67925097, it was incomplete and wrong...

Thanks!

3. At the Southwest terminal at LAX, all passengers are required to check-in and go through TSA security screening. Before going to the flight, some of them are chosen randomly to be tested for COVID-19. Here is the flow diagram for this process: Check-in Security COVID-19 test boarding Screening boarding On average, 50 customers arrive at the terminal every hour. There are on average 10 customers in line waiting to check in. Each passenger spends on average 6 minutes in the check-in station. The passengers will join the security screening line after checking-in. On average, there are 12 customers in line for screening. The average service time at the screening station is 5 minutes. At last, about 40% of passengers are tested for COVID-19 and the rest go directly to the boarding. A line for the COVID-19 test is rarely seen and therefore assumed to be zero. The test on average takes 4 minutes. a) On average, how many minutes does a passenger stay in line before check-in? 12 mins b) On average, how many passengers are checking in with the staff? 5 c) On average, how many minutes does a passenger stay in the security screening line? 14.4 mins d) On average, how many passengers are in the screening station? 4.16 e) On average, how many passengers are getting COVID test?1.33