SOLUTION: A medicine cured 72% of people who are sick. If 7 people are sick what is the probability that at least six of them will be cured by the medicine?
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Question 1179914: A medicine cured 72% of people who are sick. If 7 people are sick what is the probability that at least six of them will be cured by the medicine? Answer by ikleyn(52754) (Show Source):
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A medicine cured 72% of people who are sick. If 7 people are sick what is the probability
that at least six of them will be cured by the medicine?
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It is a binomial distribution probability problem.
- number of trials n = 7;
- number of success trials k >= 6;
- Probability of success on a single trial p = 0.72.
We need calculate P(n=7; k>=6; p=0.72).
To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site
https://homepage.divms.uiowa.edu/~mbognar/applets/bin.html
It provides a convenient input and output for all relevant options/cases.
P(n=7; k>=6; p=0.72) = 0.37336 (rounded). ANSWER