Answer:
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%).