Estimate the mtbf using chi-squared tables


Assignment Task: Reliability Analysis

Problem 1: Confidence limits for the MTBF

Data relating to manpack radios is shown in the following table, use mid-points of the utilisation ranges:

Utilisation Hours

Number of Sets

Number of Failures

0-50

100

8

50-100

200

8

100-150

200

10

150-200

100

4

Use chi-squared tables to estimate the MTBF and give a 90% confidence interval. Show your full working.

Problem 2: Maintainability

An aircraft maintenance check takes the following times in minutes to complete on six successive occasions:

49, 59, 43, 65, 55 and 58

Find a suitable distribution to fit these data and estimate the maintainability, given a maintenance constraint of 60 minutes. (Note: The maintainability is the probability that the maintenance is completed within the maintenance time constraint.)

Problem 3:

(a) State the conditions which must apply if the preventive replacement of a component or assembly is to be economically worthwhile.

(b) Describe the three alternative replacement policies:

(i) Replace only on failure.

(ii) Age-based preventive replacement.

(iii) Block replacement.

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