In a recent year, a hospital had 4386 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 nothing.

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):

Assuming a Poisson distribution, the probability of X = 14 successes (births on a single day) is determined by:

The probability that there are exactly 14 births in a day is 9.08%, which is not likely.

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?