document.write( "Question 624546: One environmental group did a study of recycling habits. It found that 74% of aluminum cans were recycled. If 392 cans are recycled what is the probability that 300 or more are cycled. I get .1151 using u=np=290.08 and O = 8.68 with the approximation method (>300.5) The next part is: what is the probability of 260-300. Same process gets me .8849. It's wrong but I don't know why.\r
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document.write( "Help is appreciated.
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Algebra.Com's Answer #392833 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "In the first part, you incorrectly interpreted \"300 or more are cycled\" as \r\n" ); document.write( "\"more than 300\". But 300 IS included. To include 300, you must \r\n" ); document.write( "use (>299.5) not (>300.5), because (>300.5) does NOT include the case \r\n" ); document.write( "when exactly 300 are cycled, whereas (>299.5) does.\r\n" ); document.write( "\r\n" ); document.write( "The correct answer is .1390\r\n" ); document.write( "\r\n" ); document.write( "In the second part there must be a subtraction, I will assume that\r\n" ); document.write( "by 260-300 you mean to INCLUDE both 260 and 300. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(< 300.5) - (< 259.5) = .8849 - .0002 = .8847\r\n" ); document.write( "\r\n" ); document.write( "You must be careful to observe whether you are to INCLUDE or NOT to\r\n" ); document.write( "INCLUDE the endpoint. \r\n" ); document.write( "\r\n" ); document.write( "If the interval is A to B, it's\r\n" ); document.write( "\r\n" ); document.write( "(< A-.5) - (< B+.5) if you are including both endpoints.\r\n" ); document.write( "\r\n" ); document.write( "and\r\n" ); document.write( "\r\n" ); document.write( "(< A+.5) - ( B-.5) if you are NOT including either endpoint.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |