document.write( "Question 1202128: Trees planted by a landscaping firm have a 95% one-year survival rate. If they plant 16 trees in a park, what are the following probabilities?
\n" ); document.write( "1. All the trees survive one year. \r
\n" ); document.write( "\n" ); document.write( "2. At least 14 trees survive one year. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #836771 by ikleyn(52813) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Trees planted by a landscaping firm have a 95% one-year survival rate.
\n" ); document.write( "If they plant 16 trees in a park, what are the following probabilities?
\n" ); document.write( "(1) All the trees survive one year.
\n" ); document.write( "(2) At least 14 trees survive one year.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " It is a binomial distribution probability problem.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(1)    P =  = 0.4401  (rounded).    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)    P(at least 14 survive one year) = P(16 survive) + P(15 survive) + P(14 survive) = \r\n" );
document.write( "\r\n" );
document.write( "     =  +  +  = \r\n" );
document.write( "\r\n" );
document.write( "     =  +  +  = 0.9571  (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( "To see many other similar (and 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( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );