申論題

(6) (20 points) A highway traffic condition during a blizzard is hazardous. Suppose one traffic accident is expected to occur in each 50 kilometers of highway on a blizzard day. Assume that the occurrence of accidents along the highway is modeled by a Poisson process. For a stretch of highway that is 20 kilometers long, consider the following:

(b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard days are accident free? Assume that accident occurrence between blizzard days are statistically independent.