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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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