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StatisticsQ&A LibraryIn 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?Question

Asked Jan 21, 2020

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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? |

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:

Step 2

**Probability that there will be exactly 15 births:**

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

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