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In: Statistics and Probability

Statictics and Proability In a data communication system, several messages that arrive at a node are...

Statictics and Proability

In a data communication system, several messages
that arrive at a node are bundled into a packet before they are
transmitted over the network. Assume that the messages arrive at
the node according to a Poisson process with λ = 30 messages per
minute. Five messages are used to form a packet.
a. What is the mean time until a packet is formed, that is,
until five messages have arrived at the node?
b. What is the standard deviation of the time until a packet
is formed?

c. What is the probability that a packet is formed in less than
10 seconds?
d. What is the probability that a packet is formed in less than
5 seconds?

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