SOLUTION: A certain drug cures 72% of all sick people. If seven people are sick, what is the probability that at least six of them will be cured by this drug? Explain your reasoning.

Question 1179896: A certain drug cures 72% of all sick people. If seven people are sick, what is the probability that at least six of them will be cured by this drug?
Explain your reasoning.
Answer by ikleyn(52803) (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.

---------------

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,
which is your PRIMARY MAJOR GOAL visiting this forum (I believe).

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