document.write( "Question 994081: Every now and then even a good diamond cutter has a problem and the diamond breaks. for one cutter, the rate of breaks is .1%.
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document.write( "If this cutter works on 75 stones, what is the probability that he breaks 2 or more?\r
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document.write( "I got 0.997420452. \n" );
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Algebra.Com's Answer #613282 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we use the binomial probability formula \n" ); document.write( "Probability(P) = (nCk) * p^k * q^(n-k) where nCk is the combination of n items taken k at a time \n" ); document.write( "******************************************************************** \n" ); document.write( "P(k > or = 2) = 1 - ( P ( k = 0 ) + P ( k = 1 ) ) \n" ); document.write( "p = .001, q = .999, n = 75 \n" ); document.write( "P ( k = 0 ) = 0.927708673390002 \n" ); document.write( "P ( k = 1 ) = 0.0696477983025527 \n" ); document.write( "P(k > or = 2) = 1 - (0.927708673390002 + 0.0696477983025527) \n" ); document.write( "P(k > or = 2) = 0.002643528 \n" ); document.write( " |