Tyree enters the bus stop at 10 AM in Prospect Ave at Park Slope, Brook- lyn. The "waiting time" for the bus is a random variable that satisfies roughly the exponential distribution (see below for details). If there is an accident in the Prospect Ave, the average waiting time for the bus is 40 minutes. If there is no accident, the average waiting time is 10 minutes. Ordinarily, there is a 7% chance of an accident in the Prospect Ave around this time of the day. Tyree waited 25 minutes until the bus showed up. What is the probability that an accident happened? The Exponential Distribution is a continuous distribution which is often used to model waiting time for some events. It has one parameter which is the average waiting time. Here are some useful information about this distribution: pdf: fx (t) = exp(-) CDF: Fx(t) = 1- exp(-) Expected value: Ex = Variance: Var (X) =