Traffic surveys at an intersection were conducted in 4 different occasions. The number of vehicles recorded in each survey 42, 46, 60, and 38 vehicles per hour. It is assumed that the number of vehicles arriving at the intersection follows a Poisson distribution. Which one of the following expressions gives a good representation of the posterior distribution of the mean rate of vehicles (v) at the intersection assuming a non- informative prior? 1. In(p(VID)) = K +25-In(v) - 241v 2. In(p(VID)) = K + 241.In(V)-5v 3. In(p(VID)) = K + 241. In(V)-25v 4. In(p(VID)) = K +5.In(v)-241v