Answer:
Mean number of births = 12.02 births per day.
P(X=14) = 0.0908=9.08%
Not likely
Step-by-step explanation:
Mean number of births (λ):
[tex]\lambda=\frac{4386}{365}\\ \lambda=12.02\ births/day[/tex]
Assuming a Poisson distribution, the probability of X = 14 successes (births on a single day) is determined by:
[tex]P(X=x) = \frac{\lambda^xe^{-\lambda}}{x!} \\P(X=14) = \frac{12.02^{14}e^{-12.02}}{14!}\\P(X=14) =0.0908[/tex]
The probability that there are exactly 14 births in a day is 9.08%, which is not likely.
