In a recent year, a hospital had 4265 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
14 births. Does it appear likely that on any given day, there will be exactly 14 births?
The mean number of births per day is 11.7.
(Round to one decimal place as needed.)
The probability that, in a day, there are 14 births is
(Round to three decimal places as needed.)