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A beginner reliability engineer did not realize that the failures of the system should be grouped by type instead of having them in one group. The system was observed to fail because of two types of failures: electrical (E) and mechanical (M). The failure data for E are 316, 138, 87, 923, 921, 1113, 1152, 577, 480, 1401 The data for M are 746, 1281, 1304, 1576, 1386, 671, 2106, 660, 1149, 425 The true data for E comes from an exponential distribution with mean = 1000 h, and the data for M comes from Weibull with γ = 2 and θ = 1000. a. What is the reliability expression for the true distribution? b. What is the reliability expression for the combined failures? c. Is the analysis of the engineer correct? Why?

A beginner reliability engineer did not realize that the failures of the system should be grouped by type instead of having them in one group. The system was observed to fail because of two types of failures: electrical (E) and mechanical (M). The failure data for E are 316, 138, 87, 923, 921, 1113, 1152, 577, 480, 1401 The data for M are 746, 1281, 1304, 1576, 1386, 671, 2106, 660, 1149, 425 The true data for E comes from an exponential distribution with mean = 1000 h, and the data for M comes from Weibull with γ = 2 and θ = 1000. a. What is the reliability expression for the true distribution? b. What is the reliability expression for the combined failures? c. Is the analysis of the engineer correct? Why?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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  1. A beginner reliability engineer did not realize that the failures of the system should be grouped by type instead of having them in one group. The system was observed to fail because of two types of failures: electrical (E) and mechanical (M). The failure data for E are 316, 138, 87, 923, 921, 1113, 1152, 577, 480, 1401

The data for M are 746, 1281, 1304, 1576, 1386, 671, 2106, 660, 1149, 425

The true data for E comes from an exponential distribution with mean = 1000 h, and the data for M comes from Weibull with γ = 2 and θ = 1000.

a. What is the reliability expression for the true distribution?

b. What is the reliability expression for the combined failures?

c. Is the analysis of the engineer correct? Why?

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