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

The expected number of births at a rural hospital is one per day. Assume that births occur independently and at a constant rate.

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

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

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

  4. At a larger hospital, the expected number of births per day is 17.4. Assume that births occur independently and at a constant rate. On average, how long do we have to wait until a birth at this hospital?

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

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Expert Solution

milcah answered 1 year ago
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