Suppose you count 225 cars crossing a particular bridge between 8:00-9:00 a.m. on a "typical" Monday.
(a) Assume that a Poisson distribution is a reasonable model for the process of cars crossing the bridge between 8:00 and 9:00 a.m. on "typical" Mondays. Find a confidence interval for the true mean car count for this time period.
(b) If the intensity of cars crossing this bridge is variable from week to week, what impact will this have on your calculation? What impact would it have on the interval's true confidence level or even your interpretation?