document.write( "Question 464080: 13405   60263   70925   77990   63607   13936   92798   94624   27636   42422 \r
\n" ); document.write( "\n" ); document.write( "Test show that 40% of people prefer Brand X toothpaste. Use the entire line of random numbers to estimate the probability that a randomly selected group of five students will contain at least 3 people who prefer Brand X. Let the digits 1 to 4 represent the people who prefer Brand X. (Write your answer as a percent)\r
\n" ); document.write( "\n" ); document.write( "Four groups out of 10 have at least three digits from 1 to 4. \n" ); document.write( "
Algebra.Com's Answer #317884 by reviewermath(1029)\"\" \"About 
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Let f(x) be the number of digits from 1 to 4 of the number x and \"g%28x%29+=system%28+1%2C0%29+matrix%282%2C+1%2C+when+1%3C=f%28x%29%3C=4%2C+otherwise%29\"
\n" ); document.write( "So f(13405) = 3 and g(13405) = 1
\n" ); document.write( " f(60263) = 2 and g(60263) = 0
\n" ); document.write( " f(70925) = 1 and g(70925) = 0
\n" ); document.write( " f(77990) = 0 and g(77990) = 0
\n" ); document.write( " f(63607) = 1 and g(63607) = 0
\n" ); document.write( " f(13936) = 3 and g(13936) = 1
\n" ); document.write( " f(92798) = 1 and g(92798) = 0
\n" ); document.write( " f(94624) = 3 and g(94624) = 1
\n" ); document.write( " f(27636) = 2 and g(27636) = 0
\n" ); document.write( " f(42422) = 5 and g(42444) = 1
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\n" ); document.write( "Estimate of the probability that a randomly selected group of five students will contain at least 3 people who prefer Brand X is equal to \"sum%28g%28x%29%29%2F10=%281%2B0%2B0%2B0%2B0%2B1%2B0%2B1%2B0%2B1%29%2F10=4%2F10=0.4+\"= 40%\r
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