document.write( "Question 1178704: We believe that 95% of the population of all Calculus I students consider calculus an exciting subject. Suppose we randomly and independently selected 20 students from the population. If the true percentage is really 95%, find the probability of observing 19 or more of the students who consider calculus to be an exciting subject in our sample of 20.
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Algebra.Com's Answer #808082 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
We believe that 95% of the population of all Calculus I students consider calculus an exciting subject.
\n" ); document.write( "Suppose we randomly and independently selected 20 students from the population.
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document.write( "It is a binomial distribution probability problem.\r\n" );
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document.write( "    - number of trials         n =  20;\r\n" );
document.write( "    - number of success trials k >= 19;\r\n" );
document.write( "    - Probability of success on a single trial p = 0.95.\r\n" );
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document.write( "We need calculate  P(n = 20; k >= 19; p=0.95).      \r\n" );
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document.write( "To facilitate calculations, I use an appropriate 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=20; k >= 19; p=0.95) = 0.73583952495,   or   0.7358 (rounded).       ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see a variety of 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
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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
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