Question: Students arrive in a different school (Poisson process w/ 3 per hour). The school is not large so students are divide into teams. Each team

Students arrive in a different school (Poisson process w/ 3 per hour). The school is not large so students are divide into teams. Each team consists one, two or three students w/ respective probabilities 0.7, 0.2, and 0.1. The school is open for 8 hours. Also, each arrival of teams is independent.

What is the expected number of students entering the school on a day?

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