Ten of 15 units produced and sold failed at the following times in days: 5, 7, 50, 62, 114, 124, 126, 195, 198,201. (a) Determine a 92-percent confidence interval for the probability of a failure by...

Ten of 15 units produced and sold failed at the following times in days: 5, 7, 50, 62, 114, 124, 126, 195, 198,201.

(a) Determine a 92-percent confidence interval for the probability of a failure by day 50.

(b) Determine a 92-percent confidence interval for the failure time of approximately 28 percent of the failures.