In a recent year, a hospital had 4472 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 d there will be exactly 14 births? The mean number of births per day is. (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.) It is for a day to have exactly 14 births because the probability is

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In a recent year, a hospital had 4472 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|
(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.)
It is
for a day to have exactly 14 births because the probability is
Transcribed Image Text:In a recent year, a hospital had 4472 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| (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.) It is for a day to have exactly 14 births because the probability is
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