a) Suppose that a system contains a certain type of component whose time, in years, to failure is given by T. The random variable T is modelled by using the exponential distribution with mean time to failure a = 2. What is the probability that the component is still functioning at the end of 5 years? %3D

a) Suppose that a system contains a certain type of component whose time, in years, to failure is given by T. The random variable T is modelled by using the exponential distribution with mean time to failure a = 2. What is the probability that the component is still functioning at the end of 5 years? %3D

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

a) Suppose that a system contains a certain type of component whose time, in years, to failure
is given by T. The random variable T is modelled by using the exponential distribution with
mean time to failure A = 2. What is the probability that the component is still functioning at
the end of 5 years?
b) The length of life X, in hours, of an item in a machine shop has a Weibull distribution with
a = 0.03 and B 2. What is the probability that it fails before five hours of usage?

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