Refer to Exercise 17.15.

a. Find a 99% confidence interval for the hazard rate of the capacitors.

b. Find a 99% confidence interval for the reliability of the capacitors at 3,000 hours.

c. Find a 99% confidence interval for the probability that a capacitor will fail before 2,000 hours.

Data from Exercise 17.15

A sample of 100 high-reliability capacitors was placed on test for 2,000 hours. At the end of this period only three capacitors had malfunctioned, with failure times of 810, 1,422, and 1,816 hours. Assuming an exponential failure time distribution, construct a 99% confidence interval for the mean time between failures of the capacitors. Interpret the interval.