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?
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<pre>
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).       <U>ANSWER</U>
</pre>

Solved.


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To see a variety of similar solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/How-to-calculate-binomial-probabilities-using-Technology.lesson>How to calculate Binomial probabilities with Technology (using MS Excel)</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-using-Technology.lesson>Solving problems on Binomial distribution with Technology (using MS Excel)</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binom-distr-with-Technology-%28using-online-solver%29.lesson>Solving problems on Binomial distribution with Technology (using online solver)</A> 

in this site.


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

which is your &nbsp;PRIMARY &nbsp;MAJOR &nbsp;GOAL &nbsp;visiting this forum &nbsp;(I believe).