Topic: Modelling and Simulation ### Probability and Exponential Time-to-Failure Distribution#### Example Problem:**Question 1:**With an average of 7,000 hours, a component has an exponential time-to-failure distribution. For its average life, the element was already in service. What is the probability that in 8,400 hours it will fail?- a. None of these.- b. The probability that in 8,400 hours it will fail ≈ 0.125- c. The probability that in 8,400 hours it will fail ≈ 0.315- d. The probability that in 8,400 hours it will fail ≈ 0.819- e. The probability that in 8,400 hours it will fail ≈ 0.645**Answer Explanation:**To determine the appropriate answer, students should understand the concept of the exponential time-to-failure distribution and use the respective mathematical formulation.**Test Navigation:**From the provided image:- This is Question 1, which has not been answered yet, and is marked out of 5.00 points.- There is an option to flag the question, likely for review.- A timer at the top shows the remaining time: 1:58:45.- To proceed to the next page, click on "Next page". This image depicts an interactive question in an online educational platform designed to test students' understanding of probability, particularly regarding exponential time-to-failure distribution.

With an average of 7,000 hours, a component has an exponential time-to-failure distribution. For its average life, the element was already in service. What is the probabilty that in 8,400 hours it will fail? O a. None of these. O b. The probabilty that in 8,400 hours it will fail = 0.125 O. The probabilty that in 8,400 hours it will fail x 0.315 O d. The probabilty that in 8,400 hours it will fail x 0.819 O e. The probabilty that in 8,400 hours it will fail 0.645

With an average of 7,000 hours, a component has an exponential time-to-failure distribution. For its average life, the element was already in service. What is the probabilty that in 8,400 hours it will fail? O a. None of these. O b. The probabilty that in 8,400 hours it will fail = 0.125 O. The probabilty that in 8,400 hours it will fail x 0.315 O d. The probabilty that in 8,400 hours it will fail x 0.819 O e. The probabilty that in 8,400 hours it will fail 0.645

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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