Q3 Let N(t) be the number of failures of a computer system on the interval [0, t]. We suppose that {N(t),t > 0}is a Poisson process with rat A=1 per week.Q3 (i.) Calculate the probability that the system functions without failure during two consecutive weeks.Q3 (ii.) Calculate the probability that the system has exactly two failures during a given week, knowing it hasfunctioned without failure during the previous two weeks.Q3 (iii.) Calculate the probability that less than two weeks elapse before the third failure occurs.Q3(iv.) LetZ(t) = eN(t),t> 0.forShow thatE[Z(t]] = exp{t(e – 1)]using conditioning arguments.

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Answered: Q3 Let N(t) be the number of failures…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CT

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