Answer Happy

4.97 Use of acceleration lane. A study of vehicle flow charac- teristics on acceleration lanes (i.e., merging ramps) at a major freeway in Israel found that one out of every six vehicles uses less than one-third of the acceleration lane before merging into traffic (Journal of Transportation Engineering, Nov. 1985). Suppose we monitor the loca- tion of the merge for the next five vehicles that enter the acceleration lane. a. What is the probability that none of the vehicles will use less than one-third of the acceleration lane? b. What is the probability that exactly two of the vehicles will use less than one-third of the acceleration lane?