In a recent year, a hospital had 4180 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? Part 1 The mean number of births per day is _ enter your response here. (Round to one decimal place as needed.) Part 2 The probability that, in a day, there are 14 births is____ enter your response here. (Round to three decimal places as needed.)