probability of delivering 0 baby each night can be calculated using the Poisson distribution

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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The hospital had 3000 deliveries each year, so if these happened randomly around the clock 1000 deliveries would

be expected between the hours of midnight and 8.00 a.m. This is the time when many staff are off duty and it is important to ensure that there will be enough people to cope with the workload on any particular night. The average number of deliveries per night is 1000/365, which is 2.74. From this average rate the probability of delivering 0 baby each night can be calculated using the Poisson distribution. Express your answer in 3 decimal place value.

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