## 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

Question

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?

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1 week 2021-09-11T04:33:12+00:00 1 Answer 0

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.