9. In an automatic telegraph switching system incoming messages are stored in a queue until the retransmitting equipment of an outgoing trunk can send them. Messages arrive at the rate of 120 per hour. The times taken to retransmit messages may be assumed to have an exponential distribution with a mean time of 10 seconds. If the probability of losing a message because the store is full must be less than 10 6, how many messages must the equipment be able to store?
9. In an automatic telegraph switching system incoming messages are stored in a queue until the retransmitting equipment of an outgoing trunk can send them. Messages arrive at the rate of 120 per hour. The times taken to retransmit messages may be assumed to have an exponential distribution with a mean time of 10 seconds. If the probability of losing a message because the store is full must be less than 10 6, how many messages must the equipment be able to store?
Chapter6: Ground-fault Circuit Interrupters, Arc-fault Circuit Interrupters, Surge Protective Devices, Immersion Detection Circuit Interrupters, And Appliance Leakage Current Interrupters
Section: Chapter Questions
Problem 20R: Transients (surges) on a line can cause spikes or surges of energy that can damage delicate...
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According to the book the answer is 13 messa

Transcribed Image Text:9. In an automatic telegraph switching
system incoming messages are stored in a
queue until the retransmitting equipment of an
outgoing trunk can send them. Messages arrive
at the rate of 120 per hour. The times taken to
retransmit messages may be assumed to have
an exponential distribution with a mean time of
10 seconds.
If the probability of losing a message
because the store is full must be less than
10 6, how many messages must the equipment
be able to store?
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