Asked Jan 21, 2020
In Exercises 9–16, use the Poisson distribution to find the indicated probabilities.
Births In a recent year, NYU-Langone Medical Center had 4221 births. Find the mean number of births per day, then use that result to find the probability that in a day, there are 15 births. Does it appear likely that on any given day, there will be exactly 15 births?

Expert Answer

Step 1

Poisson distribution:

Denote x as number of births per day. The variable x follows Poisson distribution.

The mean of the distribution µ is calculated as follows:

Statistics homework question answer, step 1, image 1
Step 2

Probability that there will be exactly 15 births:

The probability that there will be exactly 15 birt...

Statistics homework question answer, step 2, image 1

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