document.write( "Question 1184267: 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 3 don't grow? \n" ); document.write( "

Algebra.Com's Answer #814803 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If a seed is planted, it has a 65% chance of growing into a healthy plant.
\n" ); document.write( "If 11 seeds are planted, what is the probability that exactly 3 don't grow?
\n" ); document.write( "~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Exactly 3 of 11 don't grow means that exactly 8 of 11 do grow.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is a binomial distribution probability problem.\r\n" );
document.write( "\r\n" );
document.write( "    - number of trials         n =  11;\r\n" );
document.write( "    - number of success trials k = 8;\r\n" );
document.write( "    - Probability of success on a single trial p = 0.65.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We need calculate  P(n=11; k=8; p=0.65).      \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site \r\n" );
document.write( "\r\n" );
document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    P(n=11; k=8; p=0.65) = 0.2254   (rounded).       ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );