Question 1181895
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It is the binomial type probability distribution problem.


The number of trials n= 9; the probability of the success trial is  {{{3/4}}} = 0.75,  and the number of success trials k = 5. 


    P = {{{C[9]^5*0.75^5*(1-0.75)^4}}} = {{{((9*8*7*6)/(1*2*3*4))*0.75^5*0.25^4}}} = 0.116798 = 0.1168 (rounded) = 11.68%.     <U>ANSWER</U>
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To see many other similar &nbsp;(and 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> 

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