The roads of the province have potholes at random. On a total of 8 km there are a total of 272 potholes. What is the chance of coming across fewer than 3 potholes on a given stretch of road measuring a quarter of a km?

Since there 272 potholes in 8 km there are 8.5 potholes per one quarter km. 272 potholes/8 km = 34 potholes/km ˆ 34 potholes/4 quarters = 8.5 potholes per one quarter km.

P(X#3) = p(X= 0, 1, or 2) = p(x=0) +p(x=1)+p(x=2)