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?

9.08% probability that in a day, there are 14 births. So it does not appear likely that on any given day, there will be exactly 14 births.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

In a recent year, a hospital had 4386 births.

An year has 365 days. So

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?

This is P(X = 14).

9.08% probability that in a day, there are 14 births. So it does not appear likely that on any given day, there will be exactly 14 births.

d

step-by-step explanation:

in a an geometric explicit equation, the first number is the starting rate. in this case 10.

practice. practice. practice.