[Solution] 2.B. The number of trucks arriving at an inspection station located on busy highway is a poisson random variable with an average of 8 trucks


Question: 2.B. The number of trucks arriving at an inspection station located on busy highway is a poisson random variable with an average of 8 trucks per hour.

  1. What is the probability that fewer than 4 trucks arrive during a particular one-hour period?
  2. What is the probability that more than three but fewer than eight trucks arrive during a particular one-hour period.
  3. Compute the probability that more that two but fewer than six trucks arrive during a 30-minute period.
  4. Use an appropriate approximation to find the probability that more than 130 trucks arrive in a time span of 18 hours.

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