# 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?

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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?

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Step 1

Mean of Poisson distribution:

The formula is given by,

Step 2

Substitute 4,221 for “Number of births per year” and 365 for “Total number of days per year”

Step 3

Probability for 15 births:

Define the random variable x as the number of births per day. Here, the numbers of births are random and every birth is independent of the other. Also...

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