Question: this is quality control A manufacturer performs a reliability test on 10 identical samples of its products and obtains the following failure times (in hours):

this is quality control

A manufacturer performs a reliability test on 10 identical samples of its products and obtains the following failure times (in hours): 14.7, 32.9, 133.2, 90.4, 7.8, 70.3, 38.9, 44, 61.1, 6.6 Assuming that the data follow an exponential distribution (hint: constant hazard), please finish the tasks below. a) What is the mean time to failure based on the collected data? b) Use the methods of moments to estimate the parameter of the exponential distribution c) What is the reliability of a sample product that belongs to the same population of tested units at time t = 40

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