document.write( "Question 252592: Products are sold in batches of 20. A penalty clause requires that if any batch contains 2 or more defective items, the customer will receive a total refund on the cost of the batch.
\n" ); document.write( "How likely is this to happen if the proportion of defective products produced is 0.04?
\n" ); document.write( "Give your answer correct to 3 places of decimals. \n" ); document.write( "
Algebra.Com's Answer #184594 by Theo(13342)\"\" \"About 
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probability of exactly 0 defective products in a batch is equal to .96^20 = .442002434\r
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\n" ); document.write( "\n" ); document.write( "probability of exactly 1 defective product in a batch is equal to 20 * .04*.96^19 = .368335362\r
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\n" ); document.write( "\n" ); document.write( "the probability that at least 2 will be defective is 1 minus the probability of (exactly 0 defective and exactly 1 defective). \r
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\n" ); document.write( "\n" ); document.write( "This equals 1 - (.442002434 + .368335362) = .189662205.\r
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\n" ); document.write( "\n" ); document.write( "If I did this correctly, the probability that at least 2 will be defective in a batch is 18.96%.\r
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