Question

A system consists of n identical components in parallel with each component having a reliability of p. The failure events of the components can be assumed to be independent. Compute the reliability of the system as functions of p and n. Plot system reliability as functions of p and n for the ranges of p = [0.9, 0.99, 0.999] and n = [3, 5, 10, 100, 1000].

Answer #1

The reliability of a system with n identical components in parallel with each component having a reliability of p is

The reliabilities for **p = [0.9, 0.99, 0.999]**
and **n = 3** are plotted below.

The reliabilities for **p = [0.9, 0.99, 0.999]**
and **n = 5** are plotted below.

The reliabilities for **p = [0.9, 0.99, 0.999]**
and n = 10 are plotted below.

The remaining reliabilities have the same graph as above for n = 100, 1000.

Compute the reliability of a system with 4 components in
standby parallel configuration, with failure rate
of 0.000346 after 7600 hours of operation
ANSWER: 0.729547242
PLEASE SHOW ALL WORK

Compute the reliability of a system with 4 components in standby
parallel configuration, with failure rate of 0.000346 after 7600
hours of operation.
Correct Answer: 0.729547242
Please solve without using excel.

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