CMRP Reliability Data Analysis and Statistics

Question 1

What does MTBF stand for in reliability engineering?

Accepted Answer

Mean Time Between Failures

Answer

Maximum Time Before Failure

Answer

Mean Total Breakdown Frequency

Answer

Minimum Threshold for Basic Function

Question 2

Which formula correctly calculates failure rate (λ) from MTBF?

Accepted Answer

λ = 1 / MTBF

Answer

λ = MTBF × Number of failures

Answer

λ = MTBF + MTTR

Answer

λ = Number of failures / MTBF

Question 3

What does the bathtub curve illustrate in reliability engineering?

Accepted Answer

The failure rate pattern showing infant mortality, constant rate, and wear-out phases

Answer

The relationship between maintenance cost and equipment age

Answer

The optimal frequency for preventive maintenance intervals

Answer

The cumulative distribution function of repair times

Question 4

What is 'censored data' in the context of reliability analysis?

Accepted Answer

Data from units that have not failed or were removed before failure

Answer

Data that has been filtered to remove outliers

Answer

Data collected under accelerated test conditions

Answer

Data restricted by regulatory confidentiality requirements

Question 5

If a pump has an MTBF of 2,000 hours and an MTTR of 8 hours, what is its inherent availability?

Accepted Answer

99.6%

Answer

99.0%

Answer

97.5%

Answer

98.4%

Question 6

Reliability is formally defined as the probability that a system performs its required function for a specified period under which conditions?

Accepted Answer

Under stated conditions for a specified time interval

Answer

Under ideal laboratory conditions only

Answer

Under the worst-case operating conditions

Answer

Under average field operating conditions

Question 7

For a component following the exponential distribution with an MTBF of 500 hours, what is its reliability at t = 500 hours?

Accepted Answer

36.8%

Answer

50.0%

Answer

63.2%

Answer

100%