In a study of drug-induced anaphylaxis among patients taking rocuronium bromide as part of their anesthesia, Laake and Rottingen found that the occurrence of anaphylaxis followed a Poisson model with λ = 12 incidents per year in Norway. What is the probability that between 10 and 15 patients, inclusively, will have anaphylaxis?  What is the average number of patients and what is the standard deviation of the number of patients?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In a study of drug-induced anaphylaxis among patients taking rocuronium bromide as part of their anesthesia, Laake and Rottingen found that the occurrence of anaphylaxis followed a Poisson model with λ = 12 incidents per year in Norway.

  1. What is the probability that between 10 and 15 patients, inclusively, will have anaphylaxis? 

  2. What is the average number of patients and what is the standard deviation of the number of patients?

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,