document.write( "Question 1145729: If a seed is planted, it has a 65% chance of growing into a healthy plant.\r
\n" ); document.write( "\n" ); document.write( "If 11 seeds are planted, what is the probability that exactly 4 don't grow? \n" ); document.write( "
Algebra.Com's Answer #767011 by ikleyn(52781)\"\" \"About 
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document.write( "This is a binomial distribution type problem where p(x) = C(n,x)* p^x * q^(n-x)\r\n" );
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document.write( "    n is equal to 11                    // number of trials\r\n" );
document.write( "    x is equal to  4                    // number of success trials\r\n" );
document.write( "    p is the probability of don't grow\r\n" );
document.write( "    q = 1 - p\r\n" );
document.write( "    C(n,x) = n! / (x! * (n-x)!)         // binomial coefficient\r\n" );
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document.write( "Notice that the \"success\" in this case is getting \"don't grow\" with the probability p = 1 - 0.65 = 0.35.\r\n" );
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document.write( "Thus in your case  p(4, 11, 0.35) = C(11,4) * 0.35^4 * 0.65^7 = use Excel function BINOM.DIST(4, 11, 0.35, FALSE) = 0.243.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Excel function BINOM.DIST, see its description everywhere, for example\r
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\n" ); document.write( "\n" ); document.write( "https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c\r
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