Answered: 3. The reliability function (7) of a… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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3. The reliability function (7) of a system, where time is in units of hours, describes the
time to failure random variable X, It is given that (t) =
1
(at + 1)²
u(t) where is a
positive constant, and (1) is the usual unit step function. a) Determine the value of the
constant if is known that the MTTF is 100 hours. b) Determine the pdf fx (1) of the
random variable X, c) Determine the conditional failure rate ẞ, (t) of the system and plot it
as a function of time using the result of part a).

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