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The flu shot in a given year has an 84% chance of preventing the flu on...

The flu shot in a given year has an 84% chance of preventing the flu on those it is administered to. What is the probability that if 4 people get the flu shot, the flu shot prevents the flu for all 4 of them, assuming independence?

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Answer #1

X ~ Binomial (n,p)

P(X) = nCx px (1-p)n-x

So,

P( X = 4) = 4C4 0.844 0.160

= 0.4979

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