Messages arrive at an electronic mail server at the average rate of 4 messages every 5 minutes. Their number is modeled by a Binomial counting process. (a) What frame length makes the probability of a new message arrival during a given frame equal 0.05? (b) Suppose that 50 messages arrived during some 1-hour period. Does this indicate that the arrival rate is on the increase? Use frames computed in (a).
Messages arrive at an electronic mail server at the average rate of 4 messages every 5 minutes. Their number is modeled by a Binomial counting process. (a) What frame length makes the probability of a new message arrival during a given frame equal 0.05? (b) Suppose that 50 messages arrived during some 1-hour period. Does this indicate that the arrival rate is on the increase? Use frames computed in (a).
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
Messages arrive at an electronic mail server at the average rate of 4 messages every 5
minutes. Their number is modeled by a Binomial counting process.
(a) What frame length makes the probability of a new message arrival during a given
frame equal 0.05?
(b) Suppose that 50 messages arrived during some 1-hour period. Does this indicate that
the arrival rate is on the increase? Use frames computed in (a).
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