# Question: Twenty observations on the time to failure of a system

Twenty observations on the time to failure of a system are as follows: 1054, 320, 682, 1440, 1085, 938, 871, 471, 1053, 1103, 780, 665, 1218, 659, 393, 913, 566, 439, 533, and 813. Is the Weibull distribution a reasonable choice for the time to failure distribution? Estimate the scale and shape parameters.

## Answer to relevant Questions

Why is it difficult to define quality? Consider the following 10 observations on time to failure: 50, 191, 63, 174, 71, 62, 119, 89, 123, and 175. Is either the exponential or the Weibull a reasonable choice of the time to failure distribution? A simple series system is shown in the accompanying figure. The reliability of each component is shown in the figure. Assuming that the components operate independently, calculate the system reliability. Consider the stand-by system shown in the accompanying figure. The components have an exponential lifetime distribution, and the decision switch operates perfectly. The MTTF of each component is 500 hours. Assuming that ...Suppose that 50 units are placed on test, and when 3 of them have failed, the test is terminated. The failure times in hours for the 3 units that failed are 950, 1050, and 1525. Estimate the failure rate for these units.Post your question