A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels are used within the entire system. If the load per user is 0.029 Erlangs, and λ = 1 call/hour, compute the following for an Erlang C system that has a 5% probability of a delayed call: (a) How many users per square kilometer will this system support? (a) What is the probability that a delayed call will have to wait for more than 10 s? (c) What is the probability that a call will be delayed for more than 10 seconds?

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A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60
channels are used within the entire system. If the load per user is 0.029
Erlangs, and λ = 1 call/hour, compute the following for an Erlang C system
that has a 5% probability of a delayed call:
(a) How many users per square kilometer will this system support?
(a) What is the probability that a delayed call will have to wait for more than
10 s?
(c) What is the probability that a call will be delayed for more than 10 seconds?
Transcribed Image Text:A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels are used within the entire system. If the load per user is 0.029 Erlangs, and λ = 1 call/hour, compute the following for an Erlang C system that has a 5% probability of a delayed call: (a) How many users per square kilometer will this system support? (a) What is the probability that a delayed call will have to wait for more than 10 s? (c) What is the probability that a call will be delayed for more than 10 seconds?
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