7. The numbers of automobiles (cars and motorcycles) passing a check point per unit time fullow a P'oisson distribution. Suppose on average 2 cars pass a given check point every hour and ori averag: 3...

Show all working explaining detailly each step from start to end

Solution must be typewritten with the use of a computer keyboard only!

Answer a, b, c, d

Extracted text: 7. The numbers of automobiles (cars and motorcycles) passing a check point per unit time fullow a P'oisson distribution. Suppose on average 2 cars pass a given check point every hour and ori averag: 3 motorcycles pass the same check point every half hour. Find, leaving your answers in term: of e, the probability that in a given hour (a) two cars and three motorcycles pass by. (b) just three motorcycles pass by, (c) nothing passes by, (d) a total of five cars or motorbikes pass by the check point.