Question 1176192
.
69% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. 
Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ 
(a) exactly​ five, (b) at least​ six, and​ (c) less than four.


<B>Solution</B>


<pre>
(a)  It is a binomial distribution probability problem.

     - number of trials        n =  10;
     - number of success trial k =   5;
     - Probability of success on a single trial p = 0.69.



We need calculate  P(n=10; k = 5; p=0.69).      


To facilitate calculations, I use an online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


It provides nice instructions  and  a convenient input and output for all relevant options/cases.


    P(n=10; k = 5; p=0.69) = 0.11283776194,   or   0.1128 (rounded).       <U>ANSWER</U>




(b)  It is a binomial distribution probability problem.

     - number of trials        n =  10;
     - number of success trial k >=  6;
     - Probability of success on a single trial p = 0.69.



We need calculate  P(n=10; k >=  6; p=0.69).      


Use online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


    P(n=10; k >= 6; p=0.69) = 0.83205254038,   or   0.8321 (rounded).       <U>ANSWER</U>



(c)  It is a binomial distribution probability problem.

     - number of trials        n =  10;
     - number of success trial k <   4;
     - Probability of success on a single trial p = 0.69.



We need calculate  P(n=10; k < 4; p=0.69).      


Use online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


    P(n=10; k < 4; p=0.69) = 0.0128636757,   or   0.0129 (rounded).       <U>ANSWER</U>
</pre>


Solved.


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To see a variety 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).