The number of hits on a certain website follows a Poisson distribution with a mean rate

Chapter 4, Problem 7

(choose chapter or problem)

The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.

a. What is the probability that 5 messages are received in a given minute?

b. What is the probability that 9 messages are received in 1.5 minutes?

c. What is the probability that fewer than 3 messages are received in a period of 30 seconds?

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