document.write( "Question 443534: A manufacturing machine has a 1% defect rate.\r
\n" ); document.write( "\n" ); document.write( "If 4 items are chosen at random, what is the probability that at least one will have a defect?
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Algebra.Com's Answer #306057 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "A manufacturing machine has a 1% defect rate.
\n" ); document.write( "4 items are chosen at random
\n" ); document.write( "P(at least one will have a defect)
\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 = .01 and q = .99
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
\n" ); document.write( " P(at least one defective) = 1 - P(none defective) = 1 - (.99)^4 =.0394
\n" ); document.write( "P(at least one defective)= .0394 \n" ); document.write( "
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