Question: Q4: Poisson question In a class with N students, where N is Poisson distributed with parameter , each student attends the Tuesday morning lecture with

Q4: Poisson question

In a class with N students, where N is Poisson distributed with parameter , each student attends the Tuesday morning lecture with probability . (We assume that the students decide whether or not to attend the lecture independently of each other.)

Show that the number of students attending the Thursday morning lecture is Poisson distributed with parameter .

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