Question

What is this system's reliability at 700 hours? Component failure data is: Failure Rate of A = 0.0007 failures/hour Reliability B = 0.92 MTTF of C = 1400 hours Reliability D = 0.85 Please show all calculation steps.

Answer 1

0.998

Step-by-step explanation:

Given=

Reliability of B= 0.92

Reliability of D= 0.85

Hours= 700

Solution

Reliability of A = R A = e ^- 0.0007( 700) = 0.6126

Reliability of C= RC = e ^- 700 /1400 = 0.6065

FA= 1-0.6126

FB= 1- 0.92

FC= 1- 0.6065

FD = 1- 0.85

RS = 1 - FA․ FB․ FC․ FD

FS= 1- ( 1-0.6126)( 1- 0.92)( 1- 0.6065)( 1- 0.85) = 1- 0.001829 = 0.998