Question

4.8.6 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 the messages arrive at the node according to a Poisson process with ? = 26 messages per minute. Five messages are used to form a packet. Round your answers to three decimal places (e.g. 98.765). a) What is the mean time until a packet is formed, that is, until five messages arrived at the node? 11.538 seconds b) What is the standard deviation of the time until a packet is formed? .444 seconds c) What is the probability that a packet is formed in less than 10 seconds? .560 d) What is the probability that a packet is formed in less than 5 seconds? .1088

          4.8.6
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 the messages arrive at the node according to a Poisson process with ? = 26 messages per minute. Five messages are used to form a packet. Round your answers to three decimal places (e.g. 98.765).

a) What is the mean time until a packet is formed, that is, until five messages arrived at the node? 11.538 seconds

b) What is the standard deviation of the time until a packet is formed? .444 seconds

c) What is the probability that a packet is formed in less than 10 seconds? .560

d) What is the probability that a packet is formed in less than 5 seconds? .1088

4.8.6
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 the messages arrive at the node according to a Poisson process with ? = 26 messages per minute. Five messages are used to form a packet. Round your answers to three decimal places (e.g. 98.765).

a) What is the mean time until a packet is formed, that is, until five messages arrived at the node? 11.538 seconds

b) What is the standard deviation of the time until a packet is formed? .444 seconds

c) What is the probability that a packet is formed in less than 10 seconds? .560

d) What is the probability that a packet is formed in less than 5 seconds? .1088

Added by Ramon R.

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