-{* S a2-a x = 0, 1, 2, .. Px(x) = { ? otherwise a) Find the constant a b) The base station can handle up to N users within this time interval. What is the probability that it does not drop calls, i.e., Pr(X < N)? c) Moreover, if the base station does not drop calls, what is the probability that it is actually idle, i.e., X = 0?
-{* S a2-a x = 0, 1, 2, .. Px(x) = { ? otherwise a) Find the constant a b) The base station can handle up to N users within this time interval. What is the probability that it does not drop calls, i.e., Pr(X < N)? c) Moreover, if the base station does not drop calls, what is the probability that it is actually idle, i.e., X = 0?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
Let random variable X be the number of users communicating with a cellular base station within a given time interval. Its PMF is :
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