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Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour....

Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour. Give two reasons why we should use a Poisson distribution to describe this process.

  1. Find the probability that no vehicle passes in one minute.
  2. Find the probability of at least three vehicles pass in ten minutes.
  3. What is the expected number of vehicles passing in three minutes?
  4. In a 5-minute interval, find the probability that the number of cars passing is within one standard deviation from the average value.
  5. Find the length of the time interval needed so that the probability that no vehicle passes during that interval is 0.90.

                                   

Math   Statistics-And-Probability   
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