document.write( "Question 1195494: hi, i think this is a binomial distribution but i don't know how to solve this. thank you!\r
\n" ); document.write( "\n" ); document.write( "Suppose that 62% of all people in a town need to get a haircut. If 41 people are randomly selected, find the probability that at most 24 of them need to get a haircut.
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Algebra.Com's Answer #828003 by ikleyn(52835)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "hi, i think this is a binomial distribution but i don't know how to solve this. thank you!
\n" ); document.write( "Suppose that 62% of all people in a town need to get a haircut.
\n" ); document.write( "If 41 people are randomly selected, find the probability that at most 24 of them need to get a haircut.
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\n" ); document.write( "\n" ); document.write( "            Your thinking is right - it is a standard binomial distribution problem.\r
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document.write( "The number of trials is n=41;  the indexes of successful trials are k=1,2,3,...,24; \r\n" );
document.write( "the probability of success for each single individual trial is p = 0.62.\r\n" );
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document.write( "     The formula to calculate the probability is\r\n" );
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document.write( "         P = P(n=41; k<=24; p=0.62) = \"sum%28C%5B41%5D%5Ek%2A0.62%5Ek%2A%281-0.62%29%5E%2841-k%29%2Ck=1%2C24%29\" = \"sum%28C%5B41%5D%5Ek%2A0.62%5Ek%2A0.38%5E%2841-k%29%2C+k=1%2C24%29\".\r\n" );
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document.write( "     To facilitate my calculations, I used online calculator at this site  https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "     It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
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document.write( "          The resulting number is P = 0.37931  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar  (or different)  solved problems,  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems on Binomial distribution \r
\n" ); document.write( "\n" ); document.write( "    - Typical binomial distribution probability problems \r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using online solver) \r
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\n" ); document.write( "\n" ); document.write( "After reading these lessons,  you will be able to solve such problems on your own, \r
\n" ); document.write( "\n" ); document.write( "which is your  PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).\r
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