document.write( "Question 470656: find the probability that exactly 5 of the 12 companies test for substance abuse\r
\n" ); document.write( "\n" ); document.write( "How do i find the probability that at least half of the companies test for substance abuse?\r
\n" ); document.write( "\n" ); document.write( "80% test employees for substance abuse, the study involves the random selection of 12 companies
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Algebra.Com's Answer #322833 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p(CO test) = .8 & q = .2
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
\n" ); document.write( "P(exactly 5 test) = 12C5(.8)^5(.2)^7 = 792(.8)^5(.2)^7 = .0033
\n" ); document.write( "P(at least half) = 1 - P(0)-P(1)-P(2)-P(3)-P(4)-P(5)= .9961
\n" ); document.write( "Recommend the use of a personal statistical calculator or using the calculators on sites such as: stattrek.com \n" ); document.write( "
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