Question

A system has three components in parallel with reliabilities 0.9, 0.7, and 0.5. System reliability is:______

a. 0.315
b. 0.700
c. 0.900
d. 0.985
e. 2.100

Answer 1

0.985

Step-by-step explanation:

A system contains three components that are arranged in parallel, they include 0.9, 0.7 and 0.5

Therefore the system reliability can be calculated as follows

= 1 - (1 -0.9)×(1-0.7)×(1-0.5)

= 1 - 0.1×0.3×0.5

= 1 - 0.1×0.15

= 1 -0.015

= 0.985

Hencd the system reliability is 0.985