document.write( "Question 1196861: Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.\r
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Algebra.Com's Answer #829893 by ikleyn(52779)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Assume the random variable X has a binomial distribution with the given probability
\n" ); document.write( "of obtaining a success. Find the following probability, given the number of trials
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\n" ); document.write( "\n" ); document.write( "            It is a standard binomial distribution problem.\r
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document.write( "The number of trials is n=6;  the indexes of successful trials are k=0, 1, 2, 3; \r\n" );
document.write( "the probability of success for each single individual trial is p = 0.6).\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(0) + P(1) + P(2) + P(3) = P(n=6; k<=3; p=0.6) = \"sum%28C%5B6%5D%5Ek%2A0.6%5Ek%2A%281-0.6%29%5E%286-k%29%2Ck=0%2C3%29\" = \"sum%28C%5B6%5D%5Ek%2A0.6%5Ek%2A0.4%5E%286-k%29%2C+k=0%2C3%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 = 0.4557   (rounded).    ANSWER\r\n" );
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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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