Stats Solutions

[Solved] The probability of an accident occurring at a dangerous intersection during any hour is 5%. A local insurance company estimates that approximately

Question: The probability of an accident occurring at a dangerous intersection during any hour is 5%. A local insurance company estimates that approximately 50 of its customers drive through that intersection each hour. Assuming a binomial probability distribution.

  1. Find the probability that the insurance company has exactly 5 of its customers reporting an accident between 12 noon and 1:00p.m.
  2. Find the probability that the insurance company has at most 6 of its customers reporting an accident between 12 noon and 1:00p.m.
  3. Find the probability that the insurance company has at least 4 of its customers reporting an accident between 12 noon and 1:00p.m.
  4. What is the mean number of accidents occurring at the intersection per hour?

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