A cardiac pacemaker is a medical device that generates electrical impulses delivered by electrodes to cause the heart muscle chambers to contract and therefore pump blood; by doing so this device replaces and/or regulates the function of the electrical con- duction system of the heart. The pacemaker's battery usually last from five to 15 years. Assuming that the lifetime T in years of the artificial pacemaker has the following cumula- tive distribution function. t< 5 Fr(t) = { - 5

A cardiac pacemaker is a medical device that generates electrical impulses delivered by electrodes to cause the heart muscle chambers to contract and therefore pump blood; by doing so this device replaces and/or regulates the function of the electrical con- duction system of the heart. The pacemaker's battery usually last from five to 15 years. Assuming that the lifetime T in years of the artificial pacemaker has the following cumula- tive distribution function. t< 5 Fr(t) = { - 5

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

A cardiac pacemaker is a medical device that generates electrical impulses
delivered by electrodes to cause the heart muscle chambers to contract and therefore pump
blood; by doing so this device replaces and/or regulates the function of the electrical con-
duction system of the heart. The pacemaker's battery usually last from five to 15 years.
Assuming that the lifetime T in years of the artificial pacemaker has the following cumula-
3.
tive distribution function.
t< 5
! 5<t< 15
t> 15
Fr(t) =
10
1
(a) Find the reliability and mean time to failure of the pacemaker.
(b) Find the failure rate function.
(c) After how many years should the doctors change the device in order to provide 90%
reliability to the patient.

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