In a recent year, a hospital had 4224 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births?

10.10% probability that in a day, there are 13 births. It is not very likely that in a day there will be exactly 13 births, but also not unlikely(lower than 5%).

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

In a recent year, a hospital had 4224 births.

An year has 365 days, so

Probability that in a day, there are 13 births.

This is P(X = 13).

10.10% probability that in a day, there are 13 births. It is not very likely that in a day there will be exactly 13 births, but also not unlikely(lower than 5%).

5x+10 is the correct one

hope this

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step-by-step explanation: