# Binomial probability

A study of vehicle flow characteristics on acceleration lanes found that one out of every six vehicles uses less than 1/3 of the acceleration lane before merging into the traffic. Suppose we monitor the location of the merge for the next 5 cars that enter the acceleration lane.

a.)What is the probability that none of the vehicles will use less than 1/3 of the acceleration lanes?

b.)What is the probability that exactly 2 of the vehicles will use less than 1/3 of the acceleration lane?

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:07 am ad1c9bdddfhttps://brainmass.com/statistics/probability/binomial-probability-21342

#### Solution Summary

A study of vehicle flow characteristics on acceleration lanes found that one out of every six vehicles uses less than 1/3 of the acceleration lane before merging into the traffic. Suppose we monitor the location of the merge for the next 5 cars that enter the acceleration lane.

a.)What is the probability that none of the vehicles will use less than 1/3 of the acceleration lanes?

b.)What is the probability that exactly 2 of the vehicles will use less than 1/3 of the acceleration lane?