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The expected number of births at a rural hospital is one per day. Assume that births...

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Basic Math

The expected number of births at a rural hospital is one perday. Assume that births occur independently and at a constantrate.

  1. Use R to the draw the pmf of the number of births per day atthis hospital.

  2. Find the probability of observing at least 3 births in aday.

  3. Find the probability of observing at most 5 births in aweek.

  4. At a larger hospital, the expected number of births per day is17.4. Assume that births occur independently and at a constantrate. On average, how long do we have to wait until a birth at thishospital?

  5. What is the distribution of the total number of births per dayat both of these two hospitals (the sum of births at each of thehospitals)? State any assumptions that you are making.

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