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A new animal shelter determines that pet adoptions will follow a Poisson process with rate 6 per day. To ease the problem, assume the shelter

A new animal shelter determines that pet adoptions will follow a Poisson process with rate 6 per day. To ease the problem, assume the shelter is open 24 hours per day, 7 days per week.

  1. What is the probability that there are at least 30 adoptions in a given week?
  2. What is the probability that the third adoption happens in the first 12 hours?
  3. What is the probability that the first adoption occurs in the first hour?

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