The number of AstraZeneca Covid-19 vaccine recipients who had severe discomfort symptoms
found to be 15 per 1000 population. Assuming the number of people who received the
AstraZeneca Covid-19 vaccine had severe discomfort symptoms follows a Poisson distribution.
Find the probability that in a randomly selected 200 population, there are 4 or 5 people
who received the AstraZeneca Covid-19 vaccine have severe discomfort symptoms.
"P(x=k)=\\frac{\\lambda^ke^{-\\lambda}}{k!}"
"\\lambda=" 15 per 1000 = 3 per 200
So, "\\lambda=3"
"P(4\\ or\\ 5)=P(4)+P(5)=\\frac{3^4e^{-3}}{4!}+\\frac{3^5e^{-3}}{5!}=0.1680+0.1008=0.2688"
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