3-111. The number of messages sent to a computer bulletin board is a Poisson random

Chapter 3, Problem 3-111

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QUESTION:

3-111. The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hours? (c) What is the probability that less than two messages are received in one-half hour?

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QUESTION:

3-111. The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hours? (c) What is the probability that less than two messages are received in one-half hour?

ANSWER:


(a) The probability that 5 messages are received in 1 hour is 0.1754.

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