SOLUTION: Three out of four people think most advertising seeks to persuade people to buy things they don't need or can't afford. The probability that exactly 5 out of 9 randomly selected pe

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Question 1181895: Three out of four people think most advertising seeks to persuade people to buy things they don't need or can't afford. The probability that exactly 5 out of 9 randomly selected people will agree with this statement is
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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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%2F4 = 0.75,  and the number of success trials k = 5. 


    P = C%5B9%5D%5E5%2A0.75%5E5%2A%281-0.75%29%5E4 = %28%289%2A8%2A7%2A6%29%2F%281%2A2%2A3%2A4%29%29%2A0.75%5E5%2A0.25%5E4 = 0.116798 = 0.1168 (rounded) = 11.68%.     ANSWER

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.