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What is the pmf of the number of base stations

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Reference no: EM132464123

You are responsible for the deployment of a 5G network in your neighborhood. You install 50 base stations to serve the needs of 1000 customers in your neighborhood. It is estimated that at a given time, each customer will need a connection with probability 0.01, independently of the other customers (when a base station is used by a customer, it is unavailable for anyone else).

(a) What is the PMF of the number of base stations that are in use at any given time

(b) Repeat part (a) by approximating the number of customers that need a base station by a Poisson PMF

(c) What is the probability that there are more customers needing a base station than the number you have deployed? Provide an exact, as well as an approximate formula based on Part (b).

Reference no: EM132464123

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