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 sideeffects 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 sideeffects.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 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 sideeffects.
(hint: At first calculate the
distribution)
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