Question

Asked Jan 12, 2020

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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?

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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