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In: Statistics and Probability

A meeting of the top-tier traffic officials was called in response to an article published in...

A meeting of the top-tier traffic officials was called in response to an article published in a daily newspaper that reported an average of 7 accidents per day in a nearby locality of Venus University. The traffic wardens were advised to follow a strict plan to avoid fatal accidents in that area. Keeping in view that the inter arrival time within events of desired interest is independently and exponentially distributed, determine the following:

  1. What is the average time between two successive road accidents cases in that area?
  2. Given an accident has already been reported, what is the probability that the next accident is reported within 04hours?
  3. What is the probability that there is at least an 8 hours gap between two accidents in that area?
  4. What is the probability that 20 road accidents occur in a single day in near the vicinity of university?

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Expert Solution

orchestra answered 1 year ago
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