Power line outages. Seven power lines of different lengths had outages as shown below. The exposure of a line equals its length times the years observed. Assume that the number of outages has a Poisson distribution
(a) Estimate the outage rates (failures per year per mile) for lines 1 and 5
(b) Calculate exact two-sided 95% confidence limits for the outage rate of line 1
(c) Calculate approximate two-sided confidence limits for the outage rate of line 5
(d) Calculate a prediction and exact 90% prediction limits for the number of outages on line 1 in the coming year.
(e) Calculate a prediction and approximate 90% prediction limits for the number of outages on line 5 in the coming year
(f) Criticize all assumptions in (a) through (e).
