Suppose that you are a test engineer and interested to know how many components

Question

Suppose that you are a test engineer and interested to know how many components you need to start testing during a fixed time given certain conditions (or criteria). From past experience you know that about 7% of the components to fail by 2,000 hours, 15% by 10,000 hours. Also, the engineer wants to estimate the 12th percentile such that the lower bound of the confidence interval is within 3,000 hours of the estimate. The run time is 100,000 hrs. Find the number of components that you need to start with in the test plan if from past experience you know the lifetime of the component follows a

a. Weibull distribution.  

b. Lognormal distribution.                     

c. What type of censor plan was used in (a) and (b)?

Explanation / Answer

The answer is (a)

That is, Weibull distribution.

Since there is a scale and shape parameter exists in this problem

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