document.write( "Question 1202081: The probability that a pen drawn at random from a box of pens is defective is 0.1. If a sample of 6 pens is taken, find the probability that it will contain:
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Algebra.Com's Answer #836715 by ikleyn(53764)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "The probability that a pen drawn at random from a box of pens is defective is 0.1.
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\n" ); document.write( "\n" ); document.write( "        It is a binomial distribution probability problem.\r
\n" ); document.write( "\n" ); document.write( "        In this problem,  it is  (implicitly)  assumed that the number of pens in the box is  VERY  LARGE.\r
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document.write( "(a)  P(no defective pens) = P(all 6 pen are no defective) = \"%281-0.1%29%5E6\" = \"0.9%5E6\" = 0.531441 (rounded).  ANSWER\r\n" );
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document.write( "(b)  P(less than three defective pens) = P(0 defective pens) + P(1 defective pen) + P(2 defective pens).\r\n" );
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document.write( "     P(0 defective pens) = 0.531441   (just found in (a) );\r\n" );
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document.write( "     P(1 defective pen) = \"C%5B6%5D%5E1%2A0.1%2A0.9%5E5\" = \"10%2A0.1%2A0.9%5E5\" = 0.354294  (rounded);\r\n" );
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document.write( "     P(2 defective pen) = \"C%5B6%5D%5E2%2A0.1%5E2%2A0.9%5E4\" = \"%28%286%2A5%29%2F%281%2A2%29%29%2A0.1%5E2%2A0.9%5E4\" = 0.098415  (rounded).\r\n" );
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document.write( "     The final probability is the sum of the found partial probabilities\r\n" );
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document.write( "         P = 0.531441 + 0.354294 + 0.098415 = 0.98415.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar  (and different)  solved problems of this type,  look into the lessons\r
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\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems on Binomial distribution \r
\n" ); document.write( "\n" ); document.write( "    - Typical binomial distribution probability problems \r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using online solver) \r
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\n" ); document.write( "\n" ); document.write( "After reading from these lessons,  you will be able to solve such problems on your own,  which is your \r
\n" ); document.write( "\n" ); document.write( "PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).\r
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