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The mean number of automobiles entering a mountain tunnel per two-minute period is one
Chapter 3, Problem 3.132(choose chapter or problem)
The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the tunnel during a brief period of time produces a hazardous situation. Find the probability that the number of autos entering the tunnel during a two-minute period exceeds three. Does the Poisson model seem reasonable for this problem?
Questions & Answers
QUESTION:
The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the tunnel during a brief period of time produces a hazardous situation. Find the probability that the number of autos entering the tunnel during a two-minute period exceeds three. Does the Poisson model seem reasonable for this problem?
ANSWER:Step 1 of 4
The average rate is per two minute period,
Formula geometric probability is,