please with explanation

During rst year orientation, a bus tour starts in the middle of campus. The bus will depart only every 10 minutes and only if there is at least one group of students present. The probability that there is a group of your classmates waiting to board is 1/3. The probability that there is a group of other students waiting is 1/4. Model these as two independent Bernoulli processes that are merging. The driver then ran- domly decides to either do the west campus tour or the east campus tour. Model this as a half-half split of the just-merged process. You are waiting on the very next stop on the east side tour, and will board only if the bus is carrying a group of classmates. You want to know how long you will have to wait on average until you board. (a) Find the per 10-minute bus arrival probability on the east side. (b) Find the chances that any running bus has a group of your classmates. (c) Model the classmate / no-classmate status as a further (virtual) bus split, and nd the per 10-minute arrival probability of a classmate bus on the east side. (d) Use the rst arrival time distribution to estimate your average wait time. (Don't forget to multiply the number of time slots by 10 minutes.)