document.write( "Question 934490: 160 out of 1,000 adults contribute to charitable agencies on a regular basis. Find the probability
\n" ); document.write( "that in a random sample of 12 adults, exactly five contribute to charitable agencies on a regular
\n" ); document.write( "basis. \n" ); document.write( "

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For each adult in the random sample, the probability that he/she contributes to charitable agencies on a regular basis is
\n" ); document.write( " $\"160%2F1000=0.16\"$ ,
\n" ); document.write( "and the probability that he/she does not contribute to charitable agencies on a regular basis is
\n" ); document.write( " $\"1-0.16=0.84\"$ .
\n" ); document.write( "The probability that exactly 5 of the 12 randomly selected contribute to charitable agencies on a regular is represented by the term in the binomial expansion of
\n" ); document.write( " $\"%280.16%2B0.84%29%5E12\"$
\n" ); document.write( "that has $\"0.16%5E5\"$ .
\n" ); document.write( "The coefficient of that term is $\"12%2A11%2A10%2A9%2A8%2F%281%2A2%2A3%2A4%2A5%29=792\"$ .
\n" ); document.write( "The term is
\n" ); document.write( " $\"792%2A0.16%5E5%2A0.84%5E7=0.0245\"$ (rounded). \n" ); document.write( "

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