SOLUTION: A vaccine is 80% effective in preventing Type B influenza. In other words, 80% of those receiving the vaccine will not catch this type of flu. A random sample of 100 people has b

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Question 322383: A vaccine is 80% effective in preventing Type B influenza. In other words, 80% of those receiving the vaccine will not catch this type of flu.
A random sample of 100 people has been given the vaccine. What is the probability that at least 75 will not catch this type of flu?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A vaccine is 80% effective in preventing Type B influenza. In other words, 80% of those receiving the vaccine will not catch this type of flu.
A random sample of 100 people has been given the vaccine. What is the probability that at least 75 will not catch this type of flu?
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Binomial with n = 100 and p = 0.8
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P(75<= x <=100) = 1 - binomcdf(100,0.8,74) = 0.9125
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Cheers,
Stan H.