40 circuit boards are put on test and the test is ended at 200 hours. Circuit boards that fail are not replaced. At 200 hours, 21 boards have failed. The sum of the fully observed lifetimes is 2,670 hours. Compute the maximum-likelihood estimator of the mean lifetime, assuming that the lifetime for this type of item has an exponential distribution. State your answer rounded to the nearest whole hour.
40 circuit boards are put on test and the test is ended at 200 hours. Circuit...
There are a total of 10 test stations. When a circuit board fails, the test station will automatically record the lifetime for the failed board and then immediately switch to a replacement board. The test was stopped at 1200 hours. At that time, 19 circuit boards had failed and there was an operating circuit board in every station. Assuming the boards have exponentially-distributed lifetimes, estimate the mean lifetime for this type of board. State your answer rounded to the nearest...
There are a total of 10 test stations. When a circuit board fails, the test station will automatically record the lifetime for the failed board and then immediately switch to a replacement board. The test was stopped at 1200 hours. At that time, 19 circuit boards had failed and there was an operating circuit board in every station. Assuming the boards have exponentially-distributed lifetimes, estimate the mean lifetime for this type of board. State your answer rounded to the nearest...
Over a 2 week period a study of junction failures was conducted. The junctions exposed to heat cycling repeatedly until they failed. Five test stations were in place and failed units were replaced immediately during test. The tests ended at a predetermined time. The data below are failure times in hours. The values marked with an asterisk (*) are censored. Utilizing Matlab or spreadsheet to compute values and make plots. 23, 278* , 73, 263*, 156*, 33, 22*, 72, 91,...
1. Twenty motors were put on test under a high-temperature setting. The lifetimes in hours of the motors under these conditions are given below. Suppose we assume that the lifetime of a motor under these conditions, X, has a「(1,0) distribution. 8 11 13 13 18 22 22 43 4457 60 76 98 106 110 138 153 154 204 281 (a) Obtain a frequency distribution and a histogram or a stem-leaf plot of the data. Use the intervals [0, 25), [25,50),...
50 components are placed on a life test. The recorded times to failure, in hours, are 16.2 18.9 68.4 84.7 112 143 154 201 212 229 231 292 366 371 412 439 441 490 548 561 609 610 662 662 673 703 836 957 1020 1045 1047 1130 1131 1137 1179 1215 1240 1275 1410 1512 1635 1651 1694 1698 1973 2301 2496 2827 3142 4966 he sample data are suspected of coming from a population of lifetimes that can...