Question

A pediatrician has administered a flu vaccine to 1,000 children in a local community. The average...

A pediatrician has administered a flu vaccine to 1,000 children in a local community. The average number of children who contract the flu after they get vaccinated is 4 cases per 1,000 children. What is the probability that none of the 1,000 children will contract the flu this season? Hint: Use a Poisson distribution with λ = 4.

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Answer #1

Here, λ = 4 and x = 0
As per Poisson's distribution formula P(X = x) = λ^x * e^(-λ)/x!

We need to calculate P(X = 0)
P(X = 0) = 4^0 * e^-4/0!
P(X = 0) = 0.0183
Ans: 0.0183

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