document.write( "Question 1199388: (1) company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 2 or more defective
\n" ); document.write( "units are found in a random sample of 100 units. (a) What is the probability of rejecting a lot that is 1% defective? (b) What is the probability of
\n" ); document.write( "accepting a lot that is 5% defective? \r
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\n" ); document.write( "\n" ); document.write( "(2) The acceptance scheme for purchasing lots containing a large number of batteries is to test no more than 75 randomly selected batteries
\n" ); document.write( "and to reject a lot if a single battery fails. Suppose the probability of a failure is 0.001.
\n" ); document.write( "(a) What is the probability that a lot is accepted?
\n" ); document.write( "(b) What is the probability that a lot is rejected on the 20th test?
\n" ); document.write( "(c) What is the probability that it is rejected in 10 or fewer trials? \n" ); document.write( "

Algebra.Com's Answer #833258 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "company generally purchases large lots of a certain kind of electronic device.
\n" ); document.write( "A method is used that rejects a lot if 2 or more defective units are found
\n" ); document.write( "in a random sample of 100 units.
\n" ); document.write( "(a) What is the probability of rejecting a lot that is 1% defective?
\n" ); document.write( "(b) What is the probability of accepting a lot that is 5% defective?
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\n" ); document.write( "\n" ); document.write( " In this my post, I will show you the solution for the first problem, ONLY.\r
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\n" ); document.write( "\n" ); document.write( " In the future, NEVER pack more than ONE problem per post.\r
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\n" ); document.write( "\n" ); document.write( "This problem can be solved in different ways.
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document.write( "(a)  The probability to get 0 defective units in the random sample of 100 units is  \r\n" );
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document.write( "                     P(0) =  = 0.36603  (rounded).\r\n" );
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document.write( "     The probability to get 1 defective unit  in the random sample of 100 units is  \r\n" );
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document.write( "                     P(1) =  =  = 0.36973  (rounded)\r\n" );
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document.write( "     The probability to get 2 or more defective units is the COMPLEMENT of the sum P(0) + P(1) to 1\r\n" );
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document.write( "         P = 1 - P(0) - P(1) = 1 - 0.36603 - 0.36973 = 0.2642  (rounded).   ANSWER\r\n" );
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document.write( "     It is precisely the probability to reject a lot for given conditions.\r\n" );
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document.write( "(b)  The probability to get 0 defective units in the random sample of 100 units is  \r\n" );
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document.write( "                     P(0) =  = 0.00592  (rounded).\r\n" );
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document.write( "\r\n" );
document.write( "     The probability to get 1 defective unit  in the random sample of 100 units is  \r\n" );
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document.write( "                     P(1) =  =  = 0.03116  (rounded).\r\n" );
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document.write( "\r\n" );
document.write( "     The probability to get 2 or more defective units is the COMPLEMENT of the sum P(0) + P(1) to 1\r\n" );
document.write( "  \r\n" );
document.write( "         P = 1 - P(0) - P(1) = 1 - 0.00592 - 0.03116 = 0.96292  (rounded).   ANSWER\r\n" );
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document.write( "     It is precisely the probability to reject a lot for given conditions.\r\n" );
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One and ONLY ONE problem/question per post.

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