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In: Statistics and Probability

A can company reports that the number of breakdowns per 8-hour shift on its machine operated...

A can company reports that the number of breakdowns per 8-hour shift on its machine operated assembly line follows a Poisson distribution with a mean of 1.5.

  1. What is the probability of exactly three breakdowns on the midnight shift?
  2. What is the probability of greater than two breakdowns in one hour?
  3. What is the probability that the time between two successive breakdowns is at most three hours?
  4. If two hours have gone by without a breakdown, what is the probability that a breakdown will occur in the next one hour?

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