The following data are times (in hours) between failures of air conditioning equipment in a particular airplane: 74, 57, 48, 29, 502, 12, 70, 21, 29, 386, 59, 27, 153, 26, 326. Assume that the data are observed values of a random sample from an exponential distribution, X,~ EXP(0). (a) Find a 90% confidence interval for the mean time between failures, 8. (b) Find a one-sided lower 95% confidence limit for the 10th percentile of the be distribution of time between failures.

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