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) About Me  (Show Source):
You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~


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

Solved.

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To see a variety of similar solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)
in this site.

After reading these lessons,  you will be able to solve such problems on your own,
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