Assume that in an experiment participants are given a vaccine and tracked thereafter if they suffer from serious side-effects or not. The reports provide that the probability of suffering from side- effects is 0.8. For this case study the true probability distribution is not given. Still, the Poisson probability distribution can be taken as a good candidate to trace the distribution. Hereby, take 1000 participants randomly and please use the Poisson distribution to evaluate a) extent to which the requirements on Poisson distribution are fulfilled in this case. b) calculate the probability that more than 3 participants do not suffer from serious side- effects. (hint: At first calculate the mean value, µ using the corresponding formula belonging Poisson distribution)
Assume that in an experiment participants are given a vaccine and tracked thereafter if they suffer from serious side-effects or not. The reports provide that the probability of suffering from side- effects is 0.8. For this case study the true probability distribution is not given. Still, the Poisson probability distribution can be taken as a good candidate to trace the distribution. Hereby, take 1000 participants randomly and please use the Poisson distribution to evaluate a) extent to which the requirements on Poisson distribution are fulfilled in this case. b) calculate the probability that more than 3 participants do not suffer from serious side- effects. (hint: At first calculate the mean value, µ using the corresponding formula belonging 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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Transcribed Image Text:Assume that in an experiment participants are given a vaccine and tracked thereafter if they suffer
from serious side-effects or not. The reports provide that the probability of suffering from side-
effects is 0.8. For this case study the true probability distribution is not given. Still, the Poisson
probability distribution can be taken as a good candidate to trace the distribution.
Hereby, take 1000 participants randomly and please use the Poisson distribution to evaluate
a) extent to which the requirements on Poisson distribution are fulfilled in this case.
b) calculate the probability that more than 3 participants do not suffer from serious side-
effects.
(hint: At first calculate the mean value, µ using the corresponding formula belonging Poisson
distribution)
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