You are testing a network and waiting for an event of interest, say the time of a forced re-boot. From experience, you know that the waiting time to the event is a RV t > 0, where t has an exponential distribution with mean of u = 20 hours. You start your testing at 8AM, what is the probability that the (random) re-boot will occur during your dinner break from 5 to 6 pm? Find the time interval [0, T] so that the probability the system is operating (ie, no re-boot) is 90%, 99%. Use internal conditioning to find the expected time to re-boot, given that no re-boot occurred over the first 10 hours of observation
You are testing a network and waiting for an event of interest, say the time of a forced re-boot. From experience, you know that the waiting time to the event is a RV t > 0, where t has an exponential distribution with mean of u = 20 hours. You start your testing at 8AM, what is the probability that the (random) re-boot will occur during your dinner break from 5 to 6 pm? Find the time interval [0, T] so that the probability the system is operating (ie, no re-boot) is 90%, 99%. Use internal conditioning to find the expected time to re-boot, given that no re-boot occurred over the first 10 hours of observation
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![You are testing a network and waiting for an event of interest, say the time of a forced re-boot.
From experience, you know that the waiting time to the event is a RV t > 0, where t has an
exponential distribution with mean of u = 20 hours.
You start your testing at 8AM, what is the probability that the (random) re-boot will occur
during your dinner break from 5 to 6 pm?
Find the time interval [0, T] so that the probability the system is operating (ie, no re-boot) is
90%, 99%.
Use internal conditioning to find the expected time to re-boot, given that no re-boot occurred
over the first 10 hours of observation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79785aa8-d16d-4a57-9d6f-973cb8eb3785%2F46c7f32b-424a-4eb5-80b4-ff2dc2816af1%2Fs7567hh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are testing a network and waiting for an event of interest, say the time of a forced re-boot.
From experience, you know that the waiting time to the event is a RV t > 0, where t has an
exponential distribution with mean of u = 20 hours.
You start your testing at 8AM, what is the probability that the (random) re-boot will occur
during your dinner break from 5 to 6 pm?
Find the time interval [0, T] so that the probability the system is operating (ie, no re-boot) is
90%, 99%.
Use internal conditioning to find the expected time to re-boot, given that no re-boot occurred
over the first 10 hours of observation
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