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# A student receiving texts can be modeled as a Poisson process at a rate of 3...

A student receiving texts can be modeled as a Poisson process at a rate of 3 per hour.

a) What is the probability that the student receives 2 or more texts in the next 30 minutes?

b) Given that the student received 3 texts in the last 10 minutes, what is the probability that the next text will arrive within 15 minutes?

c) Among a group of 10 students, what is the probability that at least 2 will receive at least one text within 15 minutes?

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