document.write( "Question 816655: Help take me through\r
\n" ); document.write( "\n" ); document.write( "The probability that any given rose flower will show measurable damage when temperature rises beyond a specified level is 0.2. If the temperature rises to this level, what is the probability that in a sample of 5 flowers:
\n" ); document.write( "(c) none is damaged
\n" ); document.write( "(d) all five are damaged
\n" ); document.write( "(e) less than two are damaged
\n" ); document.write( "(f) no more that one flower is damaged
\n" ); document.write( "(g) at least two are damaged
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #491677 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "Note: Your question involves a Binomial Distribution
\n" );
document.write( "Note: The probability of x successes in n trials is: 
\n" );
document.write( "P = nCx*  where p and q are the probabilities of success and failure respectively. 
\n" );
document.write( "In this case p = .2 & q =.8 and n = 5    nCx = 
\n" );
document.write( "The probability that any given rose flower will show measurable damage when temperature rises beyond a specified level is 0.2. 
\n" );
document.write( "If the temperature rises to this level, what is the probability that in a sample of 5 flowers:
\n" );
document.write( "(c) none is damaged P(x = 0) = (.2^0)(.8^5)= .3277
\n" );
document.write( " (d) all five are damaged P(x=5) = (.2^5)(.8^0) = .0003
\n" );
document.write( " (e) less than two are damaged P(x<2) = P(x=0) + P(x=1) = (.2^0)(.8^5) + 5(.2^1)(.8^4)=  .3277 + .4096 = .7373
\n" );
document.write( " (f) no more that one flower is damaged (same as 'e')
\n" );
document.write( " (g) at least two are damaged = 1 - (P(x=0) + P(x=1)) = 1-.7373 = .2627 \n" );
document.write( "

\n" );