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(Steps Shown) Let’s suppose automobile tires are subject to ‘random failures’ before wear-out starts, at a rate of 1 failure per 200,000 miles; which for

Question: Let’s suppose automobile tires are subject to ‘random failures’ before wear-out starts, at a rate of 1 failure per 200,000 miles; which for four tires amounts to a rate of 1 failure per 50,000 miles of driving. For a 10,000 mile trip [with no ‘worn-out’ tires] what is the Poisson probability of:

  1. No failures?
  2. 1 failure?
  3. More than 1 failure?

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