document.write( "Question 1205375: Eggs are packed into cartons of six. A sample of 90 cartons is randomly selected and the number of damaged eggs in each carton counted.\r
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document.write( "Does the number of damaged eggs in a carton follow a Binomial distribution? \n" );
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Algebra.Com's Answer #842135 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Eggs are packed into cartons of six. A sample of 90 cartons is randomly selected \n" ); document.write( "and the number of damaged eggs in each carton counted. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem in the post looks strange.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From one side, it says that the number of damaged eggs in each cartoon is counted.\r \n" ); document.write( "\n" ); document.write( "From the other side, no numerical data in the post is given.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Does the number of damaged eggs in a carton follow a Binomial distribution?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Part of conditions to be binomial are satisfied:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The number of trials is 90.\r\n" ); document.write( "\r\n" ); document.write( " The number of success (the number of damaged eggs in each box) is integer k, 0 <= k <= 6.\r\n" ); document.write( "\r\n" ); document.write( " The individual outcomes are Yes/No (= damaged - not damaged).\r\n" ); document.write( "\r\n" ); document.write( " The individual outcomes are independent (which is not stated in the post,\r\n" ); document.write( " but can be assumed based on the context and on the common sense).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "However, the basic assumption that the probability of the individual success is a constant value \n" ); document.write( "can not be supported without having some additional numerical data.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, in my opinion, without additional numerical data, the problem's question can not be answered.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |