document.write( "Question 1183756: The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 5 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 6 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 2 of the 5 receiving-sets selected by the engineer are defective. \n" ); document.write( "

Algebra.Com's Answer #814247 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50.
\n" ); document.write( "He selects 5 of the 50 receiving-sets at random and inspects them thoroughly.
\n" ); document.write( "Assuming that 6 of the 50 receiving-sets in the current lot are defective,
\n" ); document.write( "find the probability that exactly 2 of the 5 receiving-sets selected by the engineer are defective.
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\n" ); document.write( "\n" ); document.write( "I solved a TWIN problem several days ago under this link\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183648.html\r
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\n" ); document.write( "\n" ); document.write( "Now, I copy-paste that solution and change/recalculate the numbers in it accordingly.\r
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document.write( "P =  =  =  = 0.0093762.      ANSWER\r\n" );
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document.write( "The numerator of P,  ,  is the number of favorable combinations of 5 of the 50 receiving-sets, \r\n" );
document.write( "that contain exactly 2 defective receiving-sets and 3 good receiving-set.\r\n" );
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document.write( "It is the favorable set.\r\n" );
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document.write( "The denominator is the total number of 5 receiving-sets selected by the engineer from 50 receiving-sets.\r\n" );
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document.write( "The probability, as always in such problem, is the ratio  .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations REVISITED \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Solved problems on Probability\". \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, a Solutions Manual, tutorials and (free of charge) home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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\n" ); document.write( "\n" ); document.write( "The solution by @Theo is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "He mistakenly assumed that the problem is on Binomial distribution.\r
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\n" ); document.write( "\n" ); document.write( "In reality, it is not so.\r
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