Using the Poisson distribution, it is found that
a) The mean is 15.63.
b) The probability is of 0.0911 = 9.11%.
c) The probability is, which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are
x is the number of successes.
e = 2.71828 is the Euler number.
is the mean in the given interval.
Item a:The mean is given by:
Item b: The probability is P(X = 17), hence:
The probability is of 0.0911 = 9.11%.
Item c:The probability is P(X = 0), hence:
The probability is, which is less than 0.05,
hence 0 births in a single day would be a significantly low number of births.
More can be learned about the Poisson distribution at brainly.com/question/13971530
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