The average amount of time till a car accident on specific 60 mile stretch of road is 30 minutes. Suppose (unreasonably) that car accidents are independent, and that two accidents can't occur at the same time.
(a) Determine the probability of a car accident occurring in the first hour?
(b) Determine the probability of a car accident occurring between 15 and 45 minutes?
(c) Compute the variance of the time until a car accident occurs?
(d) If the car accident has not happened in 2 hours, what is the probability it will happen in the next hour?