document.write( "Question 1194784: It has been found that 55% of the tools produced by a certain machine are defective. What is the probability that 50.1% or less will prove defective in a production of 100? \n" ); document.write( "

Algebra.Com's Answer #827099 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "It has been found that 55% of the tools produced by a certain machine are defective.
\n" ); document.write( "What is the probability that 50.1% or less will prove defective in a production of 100?
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document.write( "50.1% or less of 100 units is 50 units or less of 100 units.\r\n" );
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document.write( "THEREFORE, the problem's question is the same as to ask\r\n" );
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document.write( "    \"What is the probability that 50 units or less will prove to be defective in a production of 100?\"\r\n" );
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document.write( "In this formulation, it is the binomial distribution problem with the \r\n" );
document.write( "individual probability of success p = 0.55, the number of trials 100 \r\n" );
document.write( "and the number of success trials 50 or less.\r\n" );
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document.write( "The formula to calculate the probability is\r\n" );
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document.write( "         P =  = .\r\n" );
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document.write( "     To facilitate my calculations, I used online calculator at this site  https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "     It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
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document.write( "          The resulting number is P = 0.18272818469 = 0.1827  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar (or different) solved problems, look into the lessons\r
\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
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "After reading these lessons, you will be able to solve such problems on your own, \r
\n" ); document.write( "\n" ); document.write( "which is your PRIMARY MAJOR GOAL visiting this forum (I believe).\r
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