Consider a product with three components in series,with reliabilities of 0.90,0.80,and 0.99 for components A,B,and C,respectively.Furthermore,component B uses a backup that also has a reliability of 0.80.What is the reliability of the system?
A)0.50000
B)0.71280
C)0.80000
D)0.85536
E)3.49000

Question

Quizplus · Accepted Answer

To find the reliability of the system, we need to multiply the reliability of each component and its backup (if any). So, the reliability of the system is:

Reliability of A x Reliability of B (with backup) x Reliability of C
= 0.9 x (0.8 + (0.2 x 0.8)) x 0.99
= 0.9 x 0.96 x 0.99
= 0.85536

Therefore, the reliability of the system is 0.85536, which is closest to option D (0.85536).

Consider a Product with Three Components in Series,with Reliabilities of 0.90,0.80,and