Modeling & Simulation

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4. The morning arrival of students at a K12 school can be modeled as a Poisson distribution, with mean 4 children per minute. The teachers have a morning greeting ceremony before entering the classroom for which the students need to be arranged into two rows. A teacher waits for the children at the entrance and directs them to row one or row two, using the following algorithm: the first student goes to row one, the next one to row two, the next one to row one, and so on. (1) (1 mark) What is the distribution of arrivals in row one? (a) poisson (b) exponential (c) gaussian (d) something else (ii) (2 marks) What is the average number of kids that arrive in each row in an 8 minute interval? (a) 8 (b) 10 (c) 16 (d) 32