document.write( "Question 1183439: a) A city has four fire engines. For each fire engine the probability that it is available is 0.9. A fire accident happens somewhere in the city one Thursday afternoon. It is determined that fire engines will be needed:
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\n" ); document.write( "(iii) What is the chance that none of the engines are available?
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Algebra.Com's Answer #813779 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A city has four fire engines. For each fire engine the probability that it is available is 0.9.
\n" ); document.write( "A fire accident happens somewhere in the city one Thursday afternoon.
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\n" ); document.write( "(i) What is the chance that exactly 2 engines are available?
\n" ); document.write( "(ii) What is the probability that at least two of the engines are available?
\n" ); document.write( "(iii) What is the chance that none of the engines are available?
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\n" ); document.write( "\n" ); document.write( "All three problems are the binomial distribution type of problems.\r
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document.write( "(i)   The number of trials n= 4; the probability of the success trial is 0.9,  and the number of success trials k = 2. \r\n" );
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document.write( "          P =  =  = 0.0486  (rounded).     ANSWER\r\n" );
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document.write( "(ii)  The number of trials n= 4; the probability of the success trial is 0.9,  and the number of success trials k >= 2.\r\n" );
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document.write( "      We need calculate  P(n=4; k>=2; p=0.9).      \r\n" );
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document.write( "      To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site \r\n" );
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document.write( "      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( "          P(n=4; k>=2; p=0.9) = 0.9963   (rounded).       ANSWER\r\n" );
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document.write( "(iii)  This probability is\r\n" );
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document.write( "          P =  =  = 0.0001.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.     //     All questions are answered and explained.\r
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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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