What is the probability that there are between 26 and 35 messages in the next hour? 2. What is the probability that there are exactly 30 messages in the next two hours? 3. What is the average for the variable, T?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You and your friends have a large messaging group on GroupMe. The number of messages that are received in the group follows a Poisson distribution with an average of 30 per hour – call this random variable X. Let T be an exponentially distributed random variable that represents the time between messages received.

1. What is the probability that there are between 26 and 35 messages in the next hour?

2. What is the probability that there are exactly 30 messages in the next two hours?

3. What is the average for the variable, T?

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