A type of network router has a bandwidth total to first hardware failure called S expressed in terabytes. The random variable S is modelled by an exponential distribution whose density is given by: s(t) with a single parameter 0. Consider the bandwidth total to failure T of the sequence of the two routers of the same type (one being brought up automatically when the first is broken). Express T in terms of the bandwidth total to failure of single routers S, and S2. Formulate realistic assumptions about these random variables. Calculate the density function of the variable T.
A type of network router has a bandwidth total to first hardware failure called S expressed in terabytes. The random variable S is modelled by an exponential distribution whose density is given by: s(t) with a single parameter 0. Consider the bandwidth total to failure T of the sequence of the two routers of the same type (one being brought up automatically when the first is broken). Express T in terms of the bandwidth total to failure of single routers S, and S2. Formulate realistic assumptions about these random variables. Calculate the density function of the variable T.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I need the answer as soon as possible
Transcribed Image Text:A type of network router has a bandwidth total to first hardware failure called S expressed in terabytes. The random variable
S is modelled by an exponential distribution whose density is given by:
s(t)
with a single parameter 0. Consider the bandwidth total to failure T of the sequence of the two routers of the same type
(one being brought up automatically when the first is broken).
Express T in terms of the bandwidth total to failure of single routers S, and S2. Formulate realistic assumptions about these
random variables. Calculate the density function of the variable T.
Given an experiment with the dual-router-system yielding a sample T,, T2, -, Tn, calculate the likelihood function for 0.
Propose a transformation of this likelihood function whose maximum is the same and can be computed easily.
An actual experiment is performed, the infrastructure team has obtained the following bandwidth total to failures:
9.2,5.6, 18.4, 12.1, 10.7
Estimate the model-parameter with the maximum likelihood and compute the expectation of the bandwidth total to failure
of the dual-router-system.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman