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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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