Question

Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...

Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25.

  1. What is the probability of exactly three accidents occur in hour?
  2. What is the probability of less than two accidents in ten minutes?
  3. What is the probability that the time between two successive accidents is at least ten minutes?
  4. If ten minutes have gone by without an accident, what is the probability that an accident will occur in the next twenty five minutes?

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