A system has three components in parallel with reliabilities 0.9,0.7,and 0.5.What is the system reliability?
A)0.315
B)0.700
C)0.900
D)0.985
E)2.100

Question

Quizplus · Accepted Answer

The system reliability is given by the formula:
R(sys) = 1 - (1-R1)(1-R2)(1-R3)
where R1,R2 and R3 are the reliabilities of the three components.
Substituting the given values, we get:
R(sys) = 1 - (1-0.9)(1-0.7)(1-0.5)
R(sys) = 1 - 0.1*0.3*0.5
R(sys) = 0.985
Therefore, the best choice is D.

A System Has Three Components in Parallel with Reliabilities 0