document.write( "Question 1176192: ​69% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four. \n" ); document.write( "
Algebra.Com's Answer #802523 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "69% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults.
\n" ); document.write( "Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​
\n" ); document.write( "(a) exactly​ five, (b) at least​ six, and​ (c) less than four.\r
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document.write( "(a)  It is a binomial distribution probability problem.\r\n" );
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document.write( "     - number of trials        n =  10;\r\n" );
document.write( "     - number of success trial k =   5;\r\n" );
document.write( "     - Probability of success on a single trial p = 0.69.\r\n" );
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document.write( "We need calculate  P(n=10; k = 5; p=0.69).      \r\n" );
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document.write( "To facilitate calculations, I use an online (free of charge) calculator at this web-site \r\n" );
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document.write( "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( "    P(n=10; k = 5; p=0.69) = 0.11283776194,   or   0.1128 (rounded).       ANSWER\r\n" );
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document.write( "(b)  It is a binomial distribution probability problem.\r\n" );
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document.write( "     - number of trials        n =  10;\r\n" );
document.write( "     - number of success trial k >=  6;\r\n" );
document.write( "     - Probability of success on a single trial p = 0.69.\r\n" );
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document.write( "We need calculate  P(n=10; k >=  6; p=0.69).      \r\n" );
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document.write( "Use online (free of charge) calculator at this web-site \r\n" );
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document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "    P(n=10; k >= 6; p=0.69) = 0.83205254038,   or   0.8321 (rounded).       ANSWER\r\n" );
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document.write( "(c)  It is a binomial distribution probability problem.\r\n" );
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document.write( "     - number of trials        n =  10;\r\n" );
document.write( "     - number of success trial k <   4;\r\n" );
document.write( "     - Probability of success on a single trial p = 0.69.\r\n" );
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document.write( "We need calculate  P(n=10; k < 4; p=0.69).      \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use online (free of charge) calculator at this web-site \r\n" );
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document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "    P(n=10; k < 4; p=0.69) = 0.0128636757,   or   0.0129 (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( "To see a variety similar 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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