Question 1198505
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In the warehouse, 3% of the batteries go out of order. 
What is the probability that exactly 5 out of 125 batteries will go out-of-line?
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<pre>
It is a typical; binomial distribution probability problem.


The number of trials is 125;  the number of successful trials is 5; 
the probability of success for each single individual trial is p = 0.03.


     Use the formula to calculate the probability


         P(n=125, k=5, p= 0.03) = {{{C[125]^5*0.03^5*(1-0.03)^(125-5)}}} = 

         = {{{((125*124*123*122*121)/(1*2*3*4*5))*0.03^5*0.97^120}}} = 0.1474  (rounded).    <U>ANSWER</U>
</pre>

Solved.


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If you want to see many similar &nbsp;(or different) &nbsp;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> 

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).