What is the probability that more users want to use system


Problem

A cellular phone system services a population of n1 "voice users" (those who occasionally need a voice connection) and n2 "data users" (those who occasionally need a data connection). We estimate that at a given time, each user will need to be connected to the system with probability P1 (for voice users) or P2 (for data users), independent of other users. The data rate for a voice user is r1 bits/sec and for a data user is r2 bits/sec. The cellular system has a total capacity of c bits/sec. What is the probability that more users want to use the system than the system can accommodate?

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Econometrics: What is the probability that more users want to use system
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