1. The failure time of a component is believed to be an Exponential random variable. A component life test is performed, with the goal being to make inferences about the mean time to failure. One component is in operation at all times; in the event of failure, the failed component is immediately replaced by a new component. Observation begins at time T = 0 and ends immediately after the 15th failure, which occurs at time T = 1,650 minutes. Which is the correct limits of a 95% (two-sided) confidence interval for MTTF (in minutes).
2. The failure time of a component is believed to be an Exponential random variable. A component life test is performed, with the goal being to make inferences about the mean time to failure. One component is in operation at all times; in the event of failure, the failed component is immediately replaced by a new component. Observation begins at time T = 0 and ends at time T = 1,840 minutes, during which time 14 failures occur. Which is the correct limits of a 95% (two-sided) confidence interval for MTTF (in minutes).
3. The failure time of a component is believed to be an Exponential random variable. A component life test is performed, with the goal being to make inferences about the mean time to failure. One component is in operation at all times; in the event of failure, the failed component is immediately replaced by a new component. Observation begins at time T = 0 and ends at time T = 1,740 minutes, during which time 19 failures occur. Obtain the lower limit of a 95% left-sided confidence interval for MTTF (in minutes). (Give answers correct to the nearest integer.)