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Mathematics, 03.12.2019 03:31 rickimmorgan

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 the time between two consecutive received messages exceeds 30 minutes?
(d) find the expected value and the standard deviation of the number of messages received daily.

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